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Finding the Fourth Proportional to 775.46, 1,160.78 and 558.98

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Solution

The fourth proportional to 775.46, 1,160.78 and 558.98 is: 836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.46 : 1,160.78 = 558.98 : x
  2. Step 2: Convert to fraction form
    775.46/1,160.78 = 558.98/x
  3. Step 3: Cross multiply
    775.46x = 1,160.78 × 558.98
  4. Step 4: Simplify right side
    775.46x = 648,852.80
  5. Step 5: Solve for x
    x = 648,852.80/775.46
  6. Step 6: Final answer
    x = 836.73

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Double scale
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1.5x scale

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.