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Finding the Fourth Proportional to 812.25, 1,120.91 and 462.94

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Solution

The fourth proportional to 812.25, 1,120.91 and 462.94 is: 638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.25 : 1,120.91 = 462.94 : x
  2. Step 2: Convert to fraction form
    812.25/1,120.91 = 462.94/x
  3. Step 3: Cross multiply
    812.25x = 1,120.91 × 462.94
  4. Step 4: Simplify right side
    812.25x = 518,908.96
  5. Step 5: Solve for x
    x = 518,908.96/812.25
  6. Step 6: Final answer
    x = 638.85

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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.