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Finding the Fourth Proportional to 698.10, 1,047.32 and 493.07

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Solution

The fourth proportional to 698.10, 1,047.32 and 493.07 is: 739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.10 : 1,047.32 = 493.07 : x
  2. Step 2: Convert to fraction form
    698.10/1,047.32 = 493.07/x
  3. Step 3: Cross multiply
    698.10x = 1,047.32 × 493.07
  4. Step 4: Simplify right side
    698.10x = 516,398.07
  5. Step 5: Solve for x
    x = 516,398.07/698.10
  6. Step 6: Final answer
    x = 739.72

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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.