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Finding the Fourth Proportional to 471.25, 702.70 and 437.77

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Solution

The fourth proportional to 471.25, 702.70 and 437.77 is: 652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.25 : 702.70 = 437.77 : x
  2. Step 2: Convert to fraction form
    471.25/702.70 = 437.77/x
  3. Step 3: Cross multiply
    471.25x = 702.70 × 437.77
  4. Step 4: Simplify right side
    471.25x = 307,620.98
  5. Step 5: Solve for x
    x = 307,620.98/471.25
  6. Step 6: Final answer
    x = 652.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.