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Finding the Fourth Proportional to 698.52, 1,046.70 and 287.31

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Solution

The fourth proportional to 698.52, 1,046.70 and 287.31 is: 430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.52 : 1,046.70 = 287.31 : x
  2. Step 2: Convert to fraction form
    698.52/1,046.70 = 287.31/x
  3. Step 3: Cross multiply
    698.52x = 1,046.70 × 287.31
  4. Step 4: Simplify right side
    698.52x = 300,727.38
  5. Step 5: Solve for x
    x = 300,727.38/698.52
  6. Step 6: Final answer
    x = 430.52

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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.