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Finding the Fourth Proportional to 1,587, 2,380.65 and 432.75

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Solution

The fourth proportional to 1,587, 2,380.65 and 432.75 is: 649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587 : 2,380.65 = 432.75 : x
  2. Step 2: Convert to fraction form
    1,587/2,380.65 = 432.75/x
  3. Step 3: Cross multiply
    1,587x = 2,380.65 × 432.75
  4. Step 4: Simplify right side
    1,587x = 1,030,226.29
  5. Step 5: Solve for x
    x = 1,030,226.29/1,587
  6. Step 6: Final answer
    x = 649.17

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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.