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Finding the Fourth Proportional to 522.72, 785.16 and 431.73

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Solution

The fourth proportional to 522.72, 785.16 and 431.73 is: 648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.72 : 785.16 = 431.73 : x
  2. Step 2: Convert to fraction form
    522.72/785.16 = 431.73/x
  3. Step 3: Cross multiply
    522.72x = 785.16 × 431.73
  4. Step 4: Simplify right side
    522.72x = 338,977.13
  5. Step 5: Solve for x
    x = 338,977.13/522.72
  6. Step 6: Final answer
    x = 648.49

Related Problems

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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.