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Finding the Fourth Proportional to 1,332.38, 1,998.45 and 510.63

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Solution

The fourth proportional to 1,332.38, 1,998.45 and 510.63 is: 765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.38 : 1,998.45 = 510.63 : x
  2. Step 2: Convert to fraction form
    1,332.38/1,998.45 = 510.63/x
  3. Step 3: Cross multiply
    1,332.38x = 1,998.45 × 510.63
  4. Step 4: Simplify right side
    1,332.38x = 1,020,468.52
  5. Step 5: Solve for x
    x = 1,020,468.52/1,332.38
  6. Step 6: Final answer
    x = 765.90

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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.