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Finding the Fourth Proportional to 775.59, 1,070.30 and 444.10

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Solution

The fourth proportional to 775.59, 1,070.30 and 444.10 is: 612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.59 : 1,070.30 = 444.10 : x
  2. Step 2: Convert to fraction form
    775.59/1,070.30 = 444.10/x
  3. Step 3: Cross multiply
    775.59x = 1,070.30 × 444.10
  4. Step 4: Simplify right side
    775.59x = 475,318.66
  5. Step 5: Solve for x
    x = 475,318.66/775.59
  6. Step 6: Final answer
    x = 612.85

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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.