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Finding the Fourth Proportional to 1,257.20, 1,885.13 and 435.23

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Solution

The fourth proportional to 1,257.20, 1,885.13 and 435.23 is: 652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.20 : 1,885.13 = 435.23 : x
  2. Step 2: Convert to fraction form
    1,257.20/1,885.13 = 435.23/x
  3. Step 3: Cross multiply
    1,257.20x = 1,885.13 × 435.23
  4. Step 4: Simplify right side
    1,257.20x = 820,462.95
  5. Step 5: Solve for x
    x = 820,462.95/1,257.20
  6. Step 6: Final answer
    x = 652.61

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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.