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Finding the Fourth Proportional to 689.67, 1,033.16 and 457.88

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Solution

The fourth proportional to 689.67, 1,033.16 and 457.88 is: 685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.67 : 1,033.16 = 457.88 : x
  2. Step 2: Convert to fraction form
    689.67/1,033.16 = 457.88/x
  3. Step 3: Cross multiply
    689.67x = 1,033.16 × 457.88
  4. Step 4: Simplify right side
    689.67x = 473,055.85
  5. Step 5: Solve for x
    x = 473,055.85/689.67
  6. Step 6: Final answer
    x = 685.92

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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.