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Finding the Fourth Proportional to 579.60, 867.36 and 395.76

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Solution

The fourth proportional to 579.60, 867.36 and 395.76 is: 592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 867.36 = 395.76 : x
  2. Step 2: Convert to fraction form
    579.60/867.36 = 395.76/x
  3. Step 3: Cross multiply
    579.60x = 867.36 × 395.76
  4. Step 4: Simplify right side
    579.60x = 343,266.39
  5. Step 5: Solve for x
    x = 343,266.39/579.60
  6. Step 6: Final answer
    x = 592.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.