Home / 1,031.44-1,542.56-916.62

Finding the Fourth Proportional to 1,031.44, 1,542.56 and 916.62

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Solution

The fourth proportional to 1,031.44, 1,542.56 and 916.62 is: 1,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.44 : 1,542.56 = 916.62 : x
  2. Step 2: Convert to fraction form
    1,031.44/1,542.56 = 916.62/x
  3. Step 3: Cross multiply
    1,031.44x = 1,542.56 × 916.62
  4. Step 4: Simplify right side
    1,031.44x = 1,413,941.35
  5. Step 5: Solve for x
    x = 1,413,941.35/1,031.44
  6. Step 6: Final answer
    x = 1,370.84

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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.