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Finding the Fourth Proportional to 704.08, 1,052.88 and 686.80

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Solution

The fourth proportional to 704.08, 1,052.88 and 686.80 is: 1,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.08 : 1,052.88 = 686.80 : x
  2. Step 2: Convert to fraction form
    704.08/1,052.88 = 686.80/x
  3. Step 3: Cross multiply
    704.08x = 1,052.88 × 686.80
  4. Step 4: Simplify right side
    704.08x = 723,117.98
  5. Step 5: Solve for x
    x = 723,117.98/704.08
  6. Step 6: Final answer
    x = 1,027.04

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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.