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Finding the Fourth Proportional to 873.57, 1,205.46 and 524.19

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Solution

The fourth proportional to 873.57, 1,205.46 and 524.19 is: 723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.57 : 1,205.46 = 524.19 : x
  2. Step 2: Convert to fraction form
    873.57/1,205.46 = 524.19/x
  3. Step 3: Cross multiply
    873.57x = 1,205.46 × 524.19
  4. Step 4: Simplify right side
    873.57x = 631,890.08
  5. Step 5: Solve for x
    x = 631,890.08/873.57
  6. Step 6: Final answer
    x = 723.34

Related Problems

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Half scale
Find fourth proportional to 1,747.14, 2,410.92 and 1,048.38
Double scale
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Similar ratio
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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.