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Finding the Fourth Proportional to 702.12, 1,052.46 and 470.43

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Solution

The fourth proportional to 702.12, 1,052.46 and 470.43 is: 705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.12 : 1,052.46 = 470.43 : x
  2. Step 2: Convert to fraction form
    702.12/1,052.46 = 470.43/x
  3. Step 3: Cross multiply
    702.12x = 1,052.46 × 470.43
  4. Step 4: Simplify right side
    702.12x = 495,108.76
  5. Step 5: Solve for x
    x = 495,108.76/702.12
  6. Step 6: Final answer
    x = 705.16

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