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Finding the Fourth Proportional to 1,059.50, 1,462.02 and 639.92

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Solution

The fourth proportional to 1,059.50, 1,462.02 and 639.92 is: 883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.50 : 1,462.02 = 639.92 : x
  2. Step 2: Convert to fraction form
    1,059.50/1,462.02 = 639.92/x
  3. Step 3: Cross multiply
    1,059.50x = 1,462.02 × 639.92
  4. Step 4: Simplify right side
    1,059.50x = 935,575.84
  5. Step 5: Solve for x
    x = 935,575.84/1,059.50
  6. Step 6: Final answer
    x = 883.04

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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.