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Finding the Fourth Proportional to 669.08, 1,001.51 and 459.61

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Solution

The fourth proportional to 669.08, 1,001.51 and 459.61 is: 687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.08 : 1,001.51 = 459.61 : x
  2. Step 2: Convert to fraction form
    669.08/1,001.51 = 459.61/x
  3. Step 3: Cross multiply
    669.08x = 1,001.51 × 459.61
  4. Step 4: Simplify right side
    669.08x = 460,301.71
  5. Step 5: Solve for x
    x = 460,301.71/669.08
  6. Step 6: Final answer
    x = 687.97

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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.