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Finding the Fourth Proportional to 1,601.13, 2,400.05 and 869.16

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Solution

The fourth proportional to 1,601.13, 2,400.05 and 869.16 is: 1,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.13 : 2,400.05 = 869.16 : x
  2. Step 2: Convert to fraction form
    1,601.13/2,400.05 = 869.16/x
  3. Step 3: Cross multiply
    1,601.13x = 2,400.05 × 869.16
  4. Step 4: Simplify right side
    1,601.13x = 2,086,027.46
  5. Step 5: Solve for x
    x = 2,086,027.46/1,601.13
  6. Step 6: Final answer
    x = 1,302.85

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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.