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Finding the Fourth Proportional to 702.59, 1,052.97 and 471.13

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Solution

The fourth proportional to 702.59, 1,052.97 and 471.13 is: 706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.59 : 1,052.97 = 471.13 : x
  2. Step 2: Convert to fraction form
    702.59/1,052.97 = 471.13/x
  3. Step 3: Cross multiply
    702.59x = 1,052.97 × 471.13
  4. Step 4: Simplify right side
    702.59x = 496,085.76
  5. Step 5: Solve for x
    x = 496,085.76/702.59
  6. Step 6: Final answer
    x = 706.08

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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.