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Finding the Fourth Proportional to 658.08, 985.68 and 465.12

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Solution

The fourth proportional to 658.08, 985.68 and 465.12 is: 696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.08 : 985.68 = 465.12 : x
  2. Step 2: Convert to fraction form
    658.08/985.68 = 465.12/x
  3. Step 3: Cross multiply
    658.08x = 985.68 × 465.12
  4. Step 4: Simplify right side
    658.08x = 458,459.48
  5. Step 5: Solve for x
    x = 458,459.48/658.08
  6. Step 6: Final answer
    x = 696.66

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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.