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Finding the Fourth Proportional to 812.10, 1,120.95 and 497.46

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Solution

The fourth proportional to 812.10, 1,120.95 and 497.46 is: 686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.10 : 1,120.95 = 497.46 : x
  2. Step 2: Convert to fraction form
    812.10/1,120.95 = 497.46/x
  3. Step 3: Cross multiply
    812.10x = 1,120.95 × 497.46
  4. Step 4: Simplify right side
    812.10x = 557,627.79
  5. Step 5: Solve for x
    x = 557,627.79/812.10
  6. Step 6: Final answer
    x = 686.65

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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.