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Finding the Fourth Proportional to 1,043.31, 1,565.10 and 427.17

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Solution

The fourth proportional to 1,043.31, 1,565.10 and 427.17 is: 640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.31 : 1,565.10 = 427.17 : x
  2. Step 2: Convert to fraction form
    1,043.31/1,565.10 = 427.17/x
  3. Step 3: Cross multiply
    1,043.31x = 1,565.10 × 427.17
  4. Step 4: Simplify right side
    1,043.31x = 668,563.77
  5. Step 5: Solve for x
    x = 668,563.77/1,043.31
  6. Step 6: Final answer
    x = 640.81

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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.