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Finding the Fourth Proportional to 778.19, 1,164.92 and 558.95

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Solution

The fourth proportional to 778.19, 1,164.92 and 558.95 is: 836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.19 : 1,164.92 = 558.95 : x
  2. Step 2: Convert to fraction form
    778.19/1,164.92 = 558.95/x
  3. Step 3: Cross multiply
    778.19x = 1,164.92 × 558.95
  4. Step 4: Simplify right side
    778.19x = 651,123.41
  5. Step 5: Solve for x
    x = 651,123.41/778.19
  6. Step 6: Final answer
    x = 836.72

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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.