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Finding the Fourth Proportional to 656.72, 985.08 and 438.74

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Solution

The fourth proportional to 656.72, 985.08 and 438.74 is: 658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.72 : 985.08 = 438.74 : x
  2. Step 2: Convert to fraction form
    656.72/985.08 = 438.74/x
  3. Step 3: Cross multiply
    656.72x = 985.08 × 438.74
  4. Step 4: Simplify right side
    656.72x = 432,194.00
  5. Step 5: Solve for x
    x = 432,194.00/656.72
  6. Step 6: Final answer
    x = 658.11

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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.