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Finding the Fourth Proportional to 811.68, 1,120.13 and 462.39

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Solution

The fourth proportional to 811.68, 1,120.13 and 462.39 is: 638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.68 : 1,120.13 = 462.39 : x
  2. Step 2: Convert to fraction form
    811.68/1,120.13 = 462.39/x
  3. Step 3: Cross multiply
    811.68x = 1,120.13 × 462.39
  4. Step 4: Simplify right side
    811.68x = 517,934.60
  5. Step 5: Solve for x
    x = 517,934.60/811.68
  6. Step 6: Final answer
    x = 638.10

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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.