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Finding the Fourth Proportional to 517.64, 715.36 and 424.23

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Solution

The fourth proportional to 517.64, 715.36 and 424.23 is: 586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 715.36 = 424.23 : x
  2. Step 2: Convert to fraction form
    517.64/715.36 = 424.23/x
  3. Step 3: Cross multiply
    517.64x = 715.36 × 424.23
  4. Step 4: Simplify right side
    517.64x = 303,476.11
  5. Step 5: Solve for x
    x = 303,476.11/517.64
  6. Step 6: Final answer
    x = 586.27

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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.