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Finding the Fourth Proportional to 832.71, 1,149.15 and 459.71

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Solution

The fourth proportional to 832.71, 1,149.15 and 459.71 is: 634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.71 : 1,149.15 = 459.71 : x
  2. Step 2: Convert to fraction form
    832.71/1,149.15 = 459.71/x
  3. Step 3: Cross multiply
    832.71x = 1,149.15 × 459.71
  4. Step 4: Simplify right side
    832.71x = 528,276.03
  5. Step 5: Solve for x
    x = 528,276.03/832.71
  6. Step 6: Final answer
    x = 634.40

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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.