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Finding the Fourth Proportional to 1,527.76, 2,290.78 and 487.59

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Solution

The fourth proportional to 1,527.76, 2,290.78 and 487.59 is: 731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.76 : 2,290.78 = 487.59 : x
  2. Step 2: Convert to fraction form
    1,527.76/2,290.78 = 487.59/x
  3. Step 3: Cross multiply
    1,527.76x = 2,290.78 × 487.59
  4. Step 4: Simplify right side
    1,527.76x = 1,116,961.42
  5. Step 5: Solve for x
    x = 1,116,961.42/1,527.76
  6. Step 6: Final answer
    x = 731.11

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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.