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Finding the Fourth Proportional to 1,083.20, 1,624.78 and 261.47

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Solution

The fourth proportional to 1,083.20, 1,624.78 and 261.47 is: 392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.20 : 1,624.78 = 261.47 : x
  2. Step 2: Convert to fraction form
    1,083.20/1,624.78 = 261.47/x
  3. Step 3: Cross multiply
    1,083.20x = 1,624.78 × 261.47
  4. Step 4: Simplify right side
    1,083.20x = 424,823.10
  5. Step 5: Solve for x
    x = 424,823.10/1,083.20
  6. Step 6: Final answer
    x = 392.19

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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.