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Finding the Fourth Proportional to 658.80, 987.12 and 514.08

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Solution

The fourth proportional to 658.80, 987.12 and 514.08 is: 770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.80 : 987.12 = 514.08 : x
  2. Step 2: Convert to fraction form
    658.80/987.12 = 514.08/x
  3. Step 3: Cross multiply
    658.80x = 987.12 × 514.08
  4. Step 4: Simplify right side
    658.80x = 507,458.65
  5. Step 5: Solve for x
    x = 507,458.65/658.80
  6. Step 6: Final answer
    x = 770.28

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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.