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Finding the Fourth Proportional to 664.68, 915.30 and 571.31

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Solution

The fourth proportional to 664.68, 915.30 and 571.31 is: 786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.68 : 915.30 = 571.31 : x
  2. Step 2: Convert to fraction form
    664.68/915.30 = 571.31/x
  3. Step 3: Cross multiply
    664.68x = 915.30 × 571.31
  4. Step 4: Simplify right side
    664.68x = 522,915.47
  5. Step 5: Solve for x
    x = 522,915.47/664.68
  6. Step 6: Final answer
    x = 786.72

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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.