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Finding the Fourth Proportional to 624.64, 935.52 and 495.52

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Solution

The fourth proportional to 624.64, 935.52 and 495.52 is: 742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.64 : 935.52 = 495.52 : x
  2. Step 2: Convert to fraction form
    624.64/935.52 = 495.52/x
  3. Step 3: Cross multiply
    624.64x = 935.52 × 495.52
  4. Step 4: Simplify right side
    624.64x = 463,568.87
  5. Step 5: Solve for x
    x = 463,568.87/624.64
  6. Step 6: Final answer
    x = 742.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.