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Finding the Fourth Proportional to 704.52, 1,049.40 and 688.32

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Solution

The fourth proportional to 704.52, 1,049.40 and 688.32 is: 1,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.52 : 1,049.40 = 688.32 : x
  2. Step 2: Convert to fraction form
    704.52/1,049.40 = 688.32/x
  3. Step 3: Cross multiply
    704.52x = 1,049.40 × 688.32
  4. Step 4: Simplify right side
    704.52x = 722,323.01
  5. Step 5: Solve for x
    x = 722,323.01/704.52
  6. Step 6: Final answer
    x = 1,025.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.