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Finding the Fourth Proportional to 579.88, 870.02 and 432.72

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Solution

The fourth proportional to 579.88, 870.02 and 432.72 is: 649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.88 : 870.02 = 432.72 : x
  2. Step 2: Convert to fraction form
    579.88/870.02 = 432.72/x
  3. Step 3: Cross multiply
    579.88x = 870.02 × 432.72
  4. Step 4: Simplify right side
    579.88x = 376,475.05
  5. Step 5: Solve for x
    x = 376,475.05/579.88
  6. Step 6: Final answer
    x = 649.23

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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.