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Finding the Fourth Proportional to 702.46, 1,052.85 and 442.06

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Solution

The fourth proportional to 702.46, 1,052.85 and 442.06 is: 662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.46 : 1,052.85 = 442.06 : x
  2. Step 2: Convert to fraction form
    702.46/1,052.85 = 442.06/x
  3. Step 3: Cross multiply
    702.46x = 1,052.85 × 442.06
  4. Step 4: Simplify right side
    702.46x = 465,422.87
  5. Step 5: Solve for x
    x = 465,422.87/702.46
  6. Step 6: Final answer
    x = 662.56

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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.