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Finding the Fourth Proportional to 487.30, 729.99 and 281.74

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Solution

The fourth proportional to 487.30, 729.99 and 281.74 is: 422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.30 : 729.99 = 281.74 : x
  2. Step 2: Convert to fraction form
    487.30/729.99 = 281.74/x
  3. Step 3: Cross multiply
    487.30x = 729.99 × 281.74
  4. Step 4: Simplify right side
    487.30x = 205,667.38
  5. Step 5: Solve for x
    x = 205,667.38/487.30
  6. Step 6: Final answer
    x = 422.05

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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.