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Finding the Fourth Proportional to 615.42, 923.22 and 450.78

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Solution

The fourth proportional to 615.42, 923.22 and 450.78 is: 676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.42 : 923.22 = 450.78 : x
  2. Step 2: Convert to fraction form
    615.42/923.22 = 450.78/x
  3. Step 3: Cross multiply
    615.42x = 923.22 × 450.78
  4. Step 4: Simplify right side
    615.42x = 416,169.11
  5. Step 5: Solve for x
    x = 416,169.11/615.42
  6. Step 6: Final answer
    x = 676.24

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Double scale
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Similar ratio
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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.