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Finding the Fourth Proportional to 517.38, 713.87 and 307.48

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Solution

The fourth proportional to 517.38, 713.87 and 307.48 is: 424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.38 : 713.87 = 307.48 : x
  2. Step 2: Convert to fraction form
    517.38/713.87 = 307.48/x
  3. Step 3: Cross multiply
    517.38x = 713.87 × 307.48
  4. Step 4: Simplify right side
    517.38x = 219,499.21
  5. Step 5: Solve for x
    x = 219,499.21/517.38
  6. Step 6: Final answer
    x = 424.26

Related Problems

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Double scale
Find fourth proportional to 518.38, 715.24 and 308.48
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.