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Finding the Fourth Proportional to 392.61, 586.77 and 310.59

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Solution

The fourth proportional to 392.61, 586.77 and 310.59 is: 464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.61 : 586.77 = 310.59 : x
  2. Step 2: Convert to fraction form
    392.61/586.77 = 310.59/x
  3. Step 3: Cross multiply
    392.61x = 586.77 × 310.59
  4. Step 4: Simplify right side
    392.61x = 182,244.89
  5. Step 5: Solve for x
    x = 182,244.89/392.61
  6. Step 6: Final answer
    x = 464.19

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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.