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Finding the Fourth Proportional to 864.01, 1,296.15 and 286.75

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Solution

The fourth proportional to 864.01, 1,296.15 and 286.75 is: 430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.01 : 1,296.15 = 286.75 : x
  2. Step 2: Convert to fraction form
    864.01/1,296.15 = 286.75/x
  3. Step 3: Cross multiply
    864.01x = 1,296.15 × 286.75
  4. Step 4: Simplify right side
    864.01x = 371,671.01
  5. Step 5: Solve for x
    x = 371,671.01/864.01
  6. Step 6: Final answer
    x = 430.17

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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.