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Finding the Fourth Proportional to 775.18, 1,165.02 and 646

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Solution

The fourth proportional to 775.18, 1,165.02 and 646 is: 970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.18 : 1,165.02 = 646 : x
  2. Step 2: Convert to fraction form
    775.18/1,165.02 = 646/x
  3. Step 3: Cross multiply
    775.18x = 1,165.02 × 646
  4. Step 4: Simplify right side
    775.18x = 752,602.92
  5. Step 5: Solve for x
    x = 752,602.92/775.18
  6. Step 6: Final answer
    x = 970.88

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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.