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Finding the Fourth Proportional to 775.61, 1,070.29 and 460.86

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Solution

The fourth proportional to 775.61, 1,070.29 and 460.86 is: 635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.61 : 1,070.29 = 460.86 : x
  2. Step 2: Convert to fraction form
    775.61/1,070.29 = 460.86/x
  3. Step 3: Cross multiply
    775.61x = 1,070.29 × 460.86
  4. Step 4: Simplify right side
    775.61x = 493,253.85
  5. Step 5: Solve for x
    x = 493,253.85/775.61
  6. Step 6: Final answer
    x = 635.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.