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Finding the Fourth Proportional to 387.59, 584.05 and 320.62

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Solution

The fourth proportional to 387.59, 584.05 and 320.62 is: 483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.59 : 584.05 = 320.62 : x
  2. Step 2: Convert to fraction form
    387.59/584.05 = 320.62/x
  3. Step 3: Cross multiply
    387.59x = 584.05 × 320.62
  4. Step 4: Simplify right side
    387.59x = 187,258.11
  5. Step 5: Solve for x
    x = 187,258.11/387.59
  6. Step 6: Final answer
    x = 483.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.