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Finding the Fourth Proportional to 425.96, 586.37 and 315.23

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Solution

The fourth proportional to 425.96, 586.37 and 315.23 is: 433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.96 : 586.37 = 315.23 : x
  2. Step 2: Convert to fraction form
    425.96/586.37 = 315.23/x
  3. Step 3: Cross multiply
    425.96x = 586.37 × 315.23
  4. Step 4: Simplify right side
    425.96x = 184,839.27
  5. Step 5: Solve for x
    x = 184,839.27/425.96
  6. Step 6: Final answer
    x = 433.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.