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Finding the Fourth Proportional to 812.16, 1,120.77 and 462.85

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Solution

The fourth proportional to 812.16, 1,120.77 and 462.85 is: 638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.16 : 1,120.77 = 462.85 : x
  2. Step 2: Convert to fraction form
    812.16/1,120.77 = 462.85/x
  3. Step 3: Cross multiply
    812.16x = 1,120.77 × 462.85
  4. Step 4: Simplify right side
    812.16x = 518,745.59
  5. Step 5: Solve for x
    x = 518,745.59/812.16
  6. Step 6: Final answer
    x = 638.72

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1.5x scale

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.