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Finding the Fourth Proportional to 704.98, 1,057.84 and 532.72

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Solution

The fourth proportional to 704.98, 1,057.84 and 532.72 is: 799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.98 : 1,057.84 = 532.72 : x
  2. Step 2: Convert to fraction form
    704.98/1,057.84 = 532.72/x
  3. Step 3: Cross multiply
    704.98x = 1,057.84 × 532.72
  4. Step 4: Simplify right side
    704.98x = 563,532.52
  5. Step 5: Solve for x
    x = 563,532.52/704.98
  6. Step 6: Final answer
    x = 799.36

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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.