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Finding the Fourth Proportional to 987.29, 1,480.93 and 284.56

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Solution

The fourth proportional to 987.29, 1,480.93 and 284.56 is: 426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.29 : 1,480.93 = 284.56 : x
  2. Step 2: Convert to fraction form
    987.29/1,480.93 = 284.56/x
  3. Step 3: Cross multiply
    987.29x = 1,480.93 × 284.56
  4. Step 4: Simplify right side
    987.29x = 421,418.96
  5. Step 5: Solve for x
    x = 421,418.96/987.29
  6. Step 6: Final answer
    x = 426.84

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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.