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Finding the Fourth Proportional to 664.68, 915.14 and 577.32

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Solution

The fourth proportional to 664.68, 915.14 and 577.32 is: 794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.68 : 915.14 = 577.32 : x
  2. Step 2: Convert to fraction form
    664.68/915.14 = 577.32/x
  3. Step 3: Cross multiply
    664.68x = 915.14 × 577.32
  4. Step 4: Simplify right side
    664.68x = 528,328.62
  5. Step 5: Solve for x
    x = 528,328.62/664.68
  6. Step 6: Final answer
    x = 794.86

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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.