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Finding the Fourth Proportional to 425.04, 586.48 and 285.39

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Solution

The fourth proportional to 425.04, 586.48 and 285.39 is: 393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.04 : 586.48 = 285.39 : x
  2. Step 2: Convert to fraction form
    425.04/586.48 = 285.39/x
  3. Step 3: Cross multiply
    425.04x = 586.48 × 285.39
  4. Step 4: Simplify right side
    425.04x = 167,375.53
  5. Step 5: Solve for x
    x = 167,375.53/425.04
  6. Step 6: Final answer
    x = 393.79

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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.