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Finding the Fourth Proportional to 1,249.53, 1,724.46 and 752.19

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Solution

The fourth proportional to 1,249.53, 1,724.46 and 752.19 is: 1,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.53 : 1,724.46 = 752.19 : x
  2. Step 2: Convert to fraction form
    1,249.53/1,724.46 = 752.19/x
  3. Step 3: Cross multiply
    1,249.53x = 1,724.46 × 752.19
  4. Step 4: Simplify right side
    1,249.53x = 1,297,121.57
  5. Step 5: Solve for x
    x = 1,297,121.57/1,249.53
  6. Step 6: Final answer
    x = 1,038.09

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,250.53, 1,725.84 and 753.19
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.