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Finding the Fourth Proportional to 1,142.18, 1,712.91 and 372.50

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Solution

The fourth proportional to 1,142.18, 1,712.91 and 372.50 is: 558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.18 : 1,712.91 = 372.50 : x
  2. Step 2: Convert to fraction form
    1,142.18/1,712.91 = 372.50/x
  3. Step 3: Cross multiply
    1,142.18x = 1,712.91 × 372.50
  4. Step 4: Simplify right side
    1,142.18x = 638,058.98
  5. Step 5: Solve for x
    x = 638,058.98/1,142.18
  6. Step 6: Final answer
    x = 558.63

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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.