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Finding the Fourth Proportional to 517.70, 726.40 and 517.70

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Solution

The fourth proportional to 517.70, 726.40 and 517.70 is: 726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.70 : 726.40 = 517.70 : x
  2. Step 2: Convert to fraction form
    517.70/726.40 = 517.70/x
  3. Step 3: Cross multiply
    517.70x = 726.40 × 517.70
  4. Step 4: Simplify right side
    517.70x = 376,057.28
  5. Step 5: Solve for x
    x = 376,057.28/517.70
  6. Step 6: Final answer
    x = 726.40

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.