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Finding the Fourth Proportional to 778.67, 1,060.17 and 776.24

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Solution

The fourth proportional to 778.67, 1,060.17 and 776.24 is: 1,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.67 : 1,060.17 = 776.24 : x
  2. Step 2: Convert to fraction form
    778.67/1,060.17 = 776.24/x
  3. Step 3: Cross multiply
    778.67x = 1,060.17 × 776.24
  4. Step 4: Simplify right side
    778.67x = 822,946.36
  5. Step 5: Solve for x
    x = 822,946.36/778.67
  6. Step 6: Final answer
    x = 1,056.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.