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Finding the Fourth Proportional to 1,036.18, 1,553.93 and 342.73

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Solution

The fourth proportional to 1,036.18, 1,553.93 and 342.73 is: 513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.18 : 1,553.93 = 342.73 : x
  2. Step 2: Convert to fraction form
    1,036.18/1,553.93 = 342.73/x
  3. Step 3: Cross multiply
    1,036.18x = 1,553.93 × 342.73
  4. Step 4: Simplify right side
    1,036.18x = 532,568.95
  5. Step 5: Solve for x
    x = 532,568.95/1,036.18
  6. Step 6: Final answer
    x = 513.98

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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.