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Finding the Fourth Proportional to 776.22, 1,155.52 and 772.11

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Solution

The fourth proportional to 776.22, 1,155.52 and 772.11 is: 1,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.22 : 1,155.52 = 772.11 : x
  2. Step 2: Convert to fraction form
    776.22/1,155.52 = 772.11/x
  3. Step 3: Cross multiply
    776.22x = 1,155.52 × 772.11
  4. Step 4: Simplify right side
    776.22x = 892,188.55
  5. Step 5: Solve for x
    x = 892,188.55/776.22
  6. Step 6: Final answer
    x = 1,149.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.