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Finding the Fourth Proportional to 698.76, 1,046.16 and 680.04

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Solution

The fourth proportional to 698.76, 1,046.16 and 680.04 is: 1,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.76 : 1,046.16 = 680.04 : x
  2. Step 2: Convert to fraction form
    698.76/1,046.16 = 680.04/x
  3. Step 3: Cross multiply
    698.76x = 1,046.16 × 680.04
  4. Step 4: Simplify right side
    698.76x = 711,430.65
  5. Step 5: Solve for x
    x = 711,430.65/698.76
  6. Step 6: Final answer
    x = 1,018.13

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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.