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Finding the Fourth Proportional to 579.02, 799.54 and 432.30

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Solution

The fourth proportional to 579.02, 799.54 and 432.30 is: 596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.02 : 799.54 = 432.30 : x
  2. Step 2: Convert to fraction form
    579.02/799.54 = 432.30/x
  3. Step 3: Cross multiply
    579.02x = 799.54 × 432.30
  4. Step 4: Simplify right side
    579.02x = 345,643.06
  5. Step 5: Solve for x
    x = 345,643.06/579.02
  6. Step 6: Final answer
    x = 596.95

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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.