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Finding the Fourth Proportional to 1,043.78, 1,567.45 and 926.91

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Solution

The fourth proportional to 1,043.78, 1,567.45 and 926.91 is: 1,391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.78 : 1,567.45 = 926.91 : x
  2. Step 2: Convert to fraction form
    1,043.78/1,567.45 = 926.91/x
  3. Step 3: Cross multiply
    1,043.78x = 1,567.45 × 926.91
  4. Step 4: Simplify right side
    1,043.78x = 1,452,879.56
  5. Step 5: Solve for x
    x = 1,452,879.56/1,043.78
  6. Step 6: Final answer
    x = 1,391.95

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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.