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Finding the Fourth Proportional to 664.58, 915.63 and 498.53

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Solution

The fourth proportional to 664.58, 915.63 and 498.53 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.58 : 915.63 = 498.53 : x
  2. Step 2: Convert to fraction form
    664.58/915.63 = 498.53/x
  3. Step 3: Cross multiply
    664.58x = 915.63 × 498.53
  4. Step 4: Simplify right side
    664.58x = 456,469.02
  5. Step 5: Solve for x
    x = 456,469.02/664.58
  6. Step 6: Final answer
    x = 686.85

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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.