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Finding the Fourth Proportional to 702.52, 1,052.43 and 530.31

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Solution

The fourth proportional to 702.52, 1,052.43 and 530.31 is: 794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.52 : 1,052.43 = 530.31 : x
  2. Step 2: Convert to fraction form
    702.52/1,052.43 = 530.31/x
  3. Step 3: Cross multiply
    702.52x = 1,052.43 × 530.31
  4. Step 4: Simplify right side
    702.52x = 558,114.15
  5. Step 5: Solve for x
    x = 558,114.15/702.52
  6. Step 6: Final answer
    x = 794.45

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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.