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Finding the Fourth Proportional to 476.25, 656.88 and 437.03

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Solution

The fourth proportional to 476.25, 656.88 and 437.03 is: 602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.25 : 656.88 = 437.03 : x
  2. Step 2: Convert to fraction form
    476.25/656.88 = 437.03/x
  3. Step 3: Cross multiply
    476.25x = 656.88 × 437.03
  4. Step 4: Simplify right side
    476.25x = 287,073.81
  5. Step 5: Solve for x
    x = 287,073.81/476.25
  6. Step 6: Final answer
    x = 602.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.