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Finding the Fourth Proportional to 864.43, 1,301.25 and 775.13

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Solution

The fourth proportional to 864.43, 1,301.25 and 775.13 is: 1,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.43 : 1,301.25 = 775.13 : x
  2. Step 2: Convert to fraction form
    864.43/1,301.25 = 775.13/x
  3. Step 3: Cross multiply
    864.43x = 1,301.25 × 775.13
  4. Step 4: Simplify right side
    864.43x = 1,008,634.31
  5. Step 5: Solve for x
    x = 1,008,634.31/864.43
  6. Step 6: Final answer
    x = 1,166.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.