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Finding the Fourth Proportional to 813.71, 1,122.90 and 459.66

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Solution

The fourth proportional to 813.71, 1,122.90 and 459.66 is: 634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.71 : 1,122.90 = 459.66 : x
  2. Step 2: Convert to fraction form
    813.71/1,122.90 = 459.66/x
  3. Step 3: Cross multiply
    813.71x = 1,122.90 × 459.66
  4. Step 4: Simplify right side
    813.71x = 516,152.21
  5. Step 5: Solve for x
    x = 516,152.21/813.71
  6. Step 6: Final answer
    x = 634.32

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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.