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Finding the Fourth Proportional to 425.40, 587.46 and 324.28

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Solution

The fourth proportional to 425.40, 587.46 and 324.28 is: 447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.40 : 587.46 = 324.28 : x
  2. Step 2: Convert to fraction form
    425.40/587.46 = 324.28/x
  3. Step 3: Cross multiply
    425.40x = 587.46 × 324.28
  4. Step 4: Simplify right side
    425.40x = 190,501.53
  5. Step 5: Solve for x
    x = 190,501.53/425.40
  6. Step 6: Final answer
    x = 447.82

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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.