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Finding the Fourth Proportional to 979.47, 1,354.68 and 963.09

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Solution

The fourth proportional to 979.47, 1,354.68 and 963.09 is: 1,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.47 : 1,354.68 = 963.09 : x
  2. Step 2: Convert to fraction form
    979.47/1,354.68 = 963.09/x
  3. Step 3: Cross multiply
    979.47x = 1,354.68 × 963.09
  4. Step 4: Simplify right side
    979.47x = 1,304,678.76
  5. Step 5: Solve for x
    x = 1,304,678.76/979.47
  6. Step 6: Final answer
    x = 1,332.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.