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Finding the Fourth Proportional to 702.21, 1,052.72 and 470.39

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Solution

The fourth proportional to 702.21, 1,052.72 and 470.39 is: 705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.21 : 1,052.72 = 470.39 : x
  2. Step 2: Convert to fraction form
    702.21/1,052.72 = 470.39/x
  3. Step 3: Cross multiply
    702.21x = 1,052.72 × 470.39
  4. Step 4: Simplify right side
    702.21x = 495,190.35
  5. Step 5: Solve for x
    x = 495,190.35/702.21
  6. Step 6: Final answer
    x = 705.19

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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.