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Finding the Fourth Proportional to 392, 586.80 and 319.12

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Solution

The fourth proportional to 392, 586.80 and 319.12 is: 477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392 : 586.80 = 319.12 : x
  2. Step 2: Convert to fraction form
    392/586.80 = 319.12/x
  3. Step 3: Cross multiply
    392x = 586.80 × 319.12
  4. Step 4: Simplify right side
    392x = 187,259.62
  5. Step 5: Solve for x
    x = 187,259.62/392
  6. Step 6: Final answer
    x = 477.70

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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.