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Finding the Fourth Proportional to 1,587.83, 2,381.47 and 433.31

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Solution

The fourth proportional to 1,587.83, 2,381.47 and 433.31 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.83 : 2,381.47 = 433.31 : x
  2. Step 2: Convert to fraction form
    1,587.83/2,381.47 = 433.31/x
  3. Step 3: Cross multiply
    1,587.83x = 2,381.47 × 433.31
  4. Step 4: Simplify right side
    1,587.83x = 1,031,901.78
  5. Step 5: Solve for x
    x = 1,031,901.78/1,587.83
  6. Step 6: Final answer
    x = 649.88

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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.