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Finding the Fourth Proportional to 663.53, 915.93 and 498.23

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Solution

The fourth proportional to 663.53, 915.93 and 498.23 is: 687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.53 : 915.93 = 498.23 : x
  2. Step 2: Convert to fraction form
    663.53/915.93 = 498.23/x
  3. Step 3: Cross multiply
    663.53x = 915.93 × 498.23
  4. Step 4: Simplify right side
    663.53x = 456,339.22
  5. Step 5: Solve for x
    x = 456,339.22/663.53
  6. Step 6: Final answer
    x = 687.74

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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.