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Finding the Fourth Proportional to 872.01, 1,306.64 and 459.89

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Solution

The fourth proportional to 872.01, 1,306.64 and 459.89 is: 689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.01 : 1,306.64 = 459.89 : x
  2. Step 2: Convert to fraction form
    872.01/1,306.64 = 459.89/x
  3. Step 3: Cross multiply
    872.01x = 1,306.64 × 459.89
  4. Step 4: Simplify right side
    872.01x = 600,908.37
  5. Step 5: Solve for x
    x = 600,908.37/872.01
  6. Step 6: Final answer
    x = 689.11

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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.