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Finding the Fourth Proportional to 821.78, 1,232.67 and 437.78

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Solution

The fourth proportional to 821.78, 1,232.67 and 437.78 is: 656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.78 : 1,232.67 = 437.78 : x
  2. Step 2: Convert to fraction form
    821.78/1,232.67 = 437.78/x
  3. Step 3: Cross multiply
    821.78x = 1,232.67 × 437.78
  4. Step 4: Simplify right side
    821.78x = 539,638.27
  5. Step 5: Solve for x
    x = 539,638.27/821.78
  6. Step 6: Final answer
    x = 656.67

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.