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Finding the Fourth Proportional to 832.86, 1,149.18 and 478.75

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Solution

The fourth proportional to 832.86, 1,149.18 and 478.75 is: 660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.86 : 1,149.18 = 478.75 : x
  2. Step 2: Convert to fraction form
    832.86/1,149.18 = 478.75/x
  3. Step 3: Cross multiply
    832.86x = 1,149.18 × 478.75
  4. Step 4: Simplify right side
    832.86x = 550,169.93
  5. Step 5: Solve for x
    x = 550,169.93/832.86
  6. Step 6: Final answer
    x = 660.58

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Double scale
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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.