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Finding the Fourth Proportional to 656.74, 985.05 and 291.43

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Solution

The fourth proportional to 656.74, 985.05 and 291.43 is: 437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.74 : 985.05 = 291.43 : x
  2. Step 2: Convert to fraction form
    656.74/985.05 = 291.43/x
  3. Step 3: Cross multiply
    656.74x = 985.05 × 291.43
  4. Step 4: Simplify right side
    656.74x = 287,073.12
  5. Step 5: Solve for x
    x = 287,073.12/656.74
  6. Step 6: Final answer
    x = 437.12

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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.