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Finding the Fourth Proportional to 523.49, 785.39 and 249.21

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Solution

The fourth proportional to 523.49, 785.39 and 249.21 is: 373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.49 : 785.39 = 249.21 : x
  2. Step 2: Convert to fraction form
    523.49/785.39 = 249.21/x
  3. Step 3: Cross multiply
    523.49x = 785.39 × 249.21
  4. Step 4: Simplify right side
    523.49x = 195,727.04
  5. Step 5: Solve for x
    x = 195,727.04/523.49
  6. Step 6: Final answer
    x = 373.89

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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.