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Finding the Fourth Proportional to 1,431, 2,146.50 and 565.92

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Solution

The fourth proportional to 1,431, 2,146.50 and 565.92 is: 848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431 : 2,146.50 = 565.92 : x
  2. Step 2: Convert to fraction form
    1,431/2,146.50 = 565.92/x
  3. Step 3: Cross multiply
    1,431x = 2,146.50 × 565.92
  4. Step 4: Simplify right side
    1,431x = 1,214,747.28
  5. Step 5: Solve for x
    x = 1,214,747.28/1,431
  6. Step 6: Final answer
    x = 848.88

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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.