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Finding the Fourth Proportional to 761.78, 1,142.07 and 350.62

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Solution

The fourth proportional to 761.78, 1,142.07 and 350.62 is: 525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.78 : 1,142.07 = 350.62 : x
  2. Step 2: Convert to fraction form
    761.78/1,142.07 = 350.62/x
  3. Step 3: Cross multiply
    761.78x = 1,142.07 × 350.62
  4. Step 4: Simplify right side
    761.78x = 400,432.58
  5. Step 5: Solve for x
    x = 400,432.58/761.78
  6. Step 6: Final answer
    x = 525.65

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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.