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Finding the Fourth Proportional to 522.73, 784.10 and 157.49

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Solution

The fourth proportional to 522.73, 784.10 and 157.49 is: 236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.73 : 784.10 = 157.49 : x
  2. Step 2: Convert to fraction form
    522.73/784.10 = 157.49/x
  3. Step 3: Cross multiply
    522.73x = 784.10 × 157.49
  4. Step 4: Simplify right side
    522.73x = 123,487.91
  5. Step 5: Solve for x
    x = 123,487.91/522.73
  6. Step 6: Final answer
    x = 236.24

Related Problems

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Half scale
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Double scale
Find fourth proportional to 523.73, 785.60 and 158.49
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.