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Finding the Fourth Proportional to 691.86, 1,036.96 and 280.44

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Solution

The fourth proportional to 691.86, 1,036.96 and 280.44 is: 420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.86 : 1,036.96 = 280.44 : x
  2. Step 2: Convert to fraction form
    691.86/1,036.96 = 280.44/x
  3. Step 3: Cross multiply
    691.86x = 1,036.96 × 280.44
  4. Step 4: Simplify right side
    691.86x = 290,805.06
  5. Step 5: Solve for x
    x = 290,805.06/691.86
  6. Step 6: Final answer
    x = 420.32

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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.