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Finding the Fourth Proportional to 892.76, 1,231.55 and 578.29

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Solution

The fourth proportional to 892.76, 1,231.55 and 578.29 is: 797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.76 : 1,231.55 = 578.29 : x
  2. Step 2: Convert to fraction form
    892.76/1,231.55 = 578.29/x
  3. Step 3: Cross multiply
    892.76x = 1,231.55 × 578.29
  4. Step 4: Simplify right side
    892.76x = 712,194.81
  5. Step 5: Solve for x
    x = 712,194.81/892.76
  6. Step 6: Final answer
    x = 797.75

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Half scale
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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.