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Finding the Fourth Proportional to 775.61, 1,161.86 and 466.53

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Solution

The fourth proportional to 775.61, 1,161.86 and 466.53 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.61 : 1,161.86 = 466.53 : x
  2. Step 2: Convert to fraction form
    775.61/1,161.86 = 466.53/x
  3. Step 3: Cross multiply
    775.61x = 1,161.86 × 466.53
  4. Step 4: Simplify right side
    775.61x = 542,035.86
  5. Step 5: Solve for x
    x = 542,035.86/775.61
  6. Step 6: Final answer
    x = 698.85

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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.