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Finding the Fourth Proportional to 862.84, 1,292.59 and 707.50

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Solution

The fourth proportional to 862.84, 1,292.59 and 707.50 is: 1,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.84 : 1,292.59 = 707.50 : x
  2. Step 2: Convert to fraction form
    862.84/1,292.59 = 707.50/x
  3. Step 3: Cross multiply
    862.84x = 1,292.59 × 707.50
  4. Step 4: Simplify right side
    862.84x = 914,507.43
  5. Step 5: Solve for x
    x = 914,507.43/862.84
  6. Step 6: Final answer
    x = 1,059.88

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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.