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Finding the Fourth Proportional to 523.02, 784.15 and 249.30

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Solution

The fourth proportional to 523.02, 784.15 and 249.30 is: 373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 784.15 = 249.30 : x
  2. Step 2: Convert to fraction form
    523.02/784.15 = 249.30/x
  3. Step 3: Cross multiply
    523.02x = 784.15 × 249.30
  4. Step 4: Simplify right side
    523.02x = 195,490.74
  5. Step 5: Solve for x
    x = 195,490.74/523.02
  6. Step 6: Final answer
    x = 373.77

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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.