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Finding the Fourth Proportional to 1,587.48, 2,381.23 and 433.23

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Solution

The fourth proportional to 1,587.48, 2,381.23 and 433.23 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.48 : 2,381.23 = 433.23 : x
  2. Step 2: Convert to fraction form
    1,587.48/2,381.23 = 433.23/x
  3. Step 3: Cross multiply
    1,587.48x = 2,381.23 × 433.23
  4. Step 4: Simplify right side
    1,587.48x = 1,031,620.27
  5. Step 5: Solve for x
    x = 1,031,620.27/1,587.48
  6. Step 6: Final answer
    x = 649.85

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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.