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Finding the Fourth Proportional to 1,031.98, 1,548.20 and 338.69

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Solution

The fourth proportional to 1,031.98, 1,548.20 and 338.69 is: 508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.98 : 1,548.20 = 338.69 : x
  2. Step 2: Convert to fraction form
    1,031.98/1,548.20 = 338.69/x
  3. Step 3: Cross multiply
    1,031.98x = 1,548.20 × 338.69
  4. Step 4: Simplify right side
    1,031.98x = 524,352.96
  5. Step 5: Solve for x
    x = 524,352.96/1,031.98
  6. Step 6: Final answer
    x = 508.11

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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.