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Finding the Fourth Proportional to 702.47, 1,052.53 and 479.78

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Solution

The fourth proportional to 702.47, 1,052.53 and 479.78 is: 718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.47 : 1,052.53 = 479.78 : x
  2. Step 2: Convert to fraction form
    702.47/1,052.53 = 479.78/x
  3. Step 3: Cross multiply
    702.47x = 1,052.53 × 479.78
  4. Step 4: Simplify right side
    702.47x = 504,976.38
  5. Step 5: Solve for x
    x = 504,976.38/702.47
  6. Step 6: Final answer
    x = 718.86

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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.