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Finding the Fourth Proportional to 437.45, 658.76 and 316.55

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Solution

The fourth proportional to 437.45, 658.76 and 316.55 is: 476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.45 : 658.76 = 316.55 : x
  2. Step 2: Convert to fraction form
    437.45/658.76 = 316.55/x
  3. Step 3: Cross multiply
    437.45x = 658.76 × 316.55
  4. Step 4: Simplify right side
    437.45x = 208,530.54
  5. Step 5: Solve for x
    x = 208,530.54/437.45
  6. Step 6: Final answer
    x = 476.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.