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Finding the Fourth Proportional to 392.79, 586.20 and 376.89

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Solution

The fourth proportional to 392.79, 586.20 and 376.89 is: 562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.79 : 586.20 = 376.89 : x
  2. Step 2: Convert to fraction form
    392.79/586.20 = 376.89/x
  3. Step 3: Cross multiply
    392.79x = 586.20 × 376.89
  4. Step 4: Simplify right side
    392.79x = 220,937.08
  5. Step 5: Solve for x
    x = 220,937.08/392.79
  6. Step 6: Final answer
    x = 562.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.