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Finding the Fourth Proportional to 691.06, 1,034.89 and 446.84

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Solution

The fourth proportional to 691.06, 1,034.89 and 446.84 is: 669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.06 : 1,034.89 = 446.84 : x
  2. Step 2: Convert to fraction form
    691.06/1,034.89 = 446.84/x
  3. Step 3: Cross multiply
    691.06x = 1,034.89 × 446.84
  4. Step 4: Simplify right side
    691.06x = 462,430.25
  5. Step 5: Solve for x
    x = 462,430.25/691.06
  6. Step 6: Final answer
    x = 669.16

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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.