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Finding the Fourth Proportional to 1,142.50, 1,713.57 and 526.18

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Solution

The fourth proportional to 1,142.50, 1,713.57 and 526.18 is: 789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.50 : 1,713.57 = 526.18 : x
  2. Step 2: Convert to fraction form
    1,142.50/1,713.57 = 526.18/x
  3. Step 3: Cross multiply
    1,142.50x = 1,713.57 × 526.18
  4. Step 4: Simplify right side
    1,142.50x = 901,646.26
  5. Step 5: Solve for x
    x = 901,646.26/1,142.50
  6. Step 6: Final answer
    x = 789.19

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Half scale
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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.