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Finding the Fourth Proportional to 864.30, 1,192.68 and 491.21

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Solution

The fourth proportional to 864.30, 1,192.68 and 491.21 is: 677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.30 : 1,192.68 = 491.21 : x
  2. Step 2: Convert to fraction form
    864.30/1,192.68 = 491.21/x
  3. Step 3: Cross multiply
    864.30x = 1,192.68 × 491.21
  4. Step 4: Simplify right side
    864.30x = 585,850.38
  5. Step 5: Solve for x
    x = 585,850.38/864.30
  6. Step 6: Final answer
    x = 677.83

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1.5x scale

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.