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Finding the Fourth Proportional to 777.15, 1,070.22 and 727.74

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Solution

The fourth proportional to 777.15, 1,070.22 and 727.74 is: 1,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.15 : 1,070.22 = 727.74 : x
  2. Step 2: Convert to fraction form
    777.15/1,070.22 = 727.74/x
  3. Step 3: Cross multiply
    777.15x = 1,070.22 × 727.74
  4. Step 4: Simplify right side
    777.15x = 778,841.90
  5. Step 5: Solve for x
    x = 778,841.90/777.15
  6. Step 6: Final answer
    x = 1,002.18

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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.