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Finding the Fourth Proportional to 579.32, 864.04 and 542.60

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Solution

The fourth proportional to 579.32, 864.04 and 542.60 is: 809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.32 : 864.04 = 542.60 : x
  2. Step 2: Convert to fraction form
    579.32/864.04 = 542.60/x
  3. Step 3: Cross multiply
    579.32x = 864.04 × 542.60
  4. Step 4: Simplify right side
    579.32x = 468,828.10
  5. Step 5: Solve for x
    x = 468,828.10/579.32
  6. Step 6: Final answer
    x = 809.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.