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Finding the Fourth Proportional to 579.72, 801.24 and 520.32

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Solution

The fourth proportional to 579.72, 801.24 and 520.32 is: 719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.72 : 801.24 = 520.32 : x
  2. Step 2: Convert to fraction form
    579.72/801.24 = 520.32/x
  3. Step 3: Cross multiply
    579.72x = 801.24 × 520.32
  4. Step 4: Simplify right side
    579.72x = 416,901.20
  5. Step 5: Solve for x
    x = 416,901.20/579.72
  6. Step 6: Final answer
    x = 719.14

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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.