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Finding the Fourth Proportional to 864.68, 1,294.70 and 539.40

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Solution

The fourth proportional to 864.68, 1,294.70 and 539.40 is: 807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.68 : 1,294.70 = 539.40 : x
  2. Step 2: Convert to fraction form
    864.68/1,294.70 = 539.40/x
  3. Step 3: Cross multiply
    864.68x = 1,294.70 × 539.40
  4. Step 4: Simplify right side
    864.68x = 698,361.18
  5. Step 5: Solve for x
    x = 698,361.18/864.68
  6. Step 6: Final answer
    x = 807.65

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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.