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Finding the Fourth Proportional to 778.02, 1,070.46 and 680.01

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Solution

The fourth proportional to 778.02, 1,070.46 and 680.01 is: 935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.02 : 1,070.46 = 680.01 : x
  2. Step 2: Convert to fraction form
    778.02/1,070.46 = 680.01/x
  3. Step 3: Cross multiply
    778.02x = 1,070.46 × 680.01
  4. Step 4: Simplify right side
    778.02x = 727,923.50
  5. Step 5: Solve for x
    x = 727,923.50/778.02
  6. Step 6: Final answer
    x = 935.61

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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.