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Finding the Fourth Proportional to 579.57, 800.13 and 432.56

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Solution

The fourth proportional to 579.57, 800.13 and 432.56 is: 597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.57 : 800.13 = 432.56 : x
  2. Step 2: Convert to fraction form
    579.57/800.13 = 432.56/x
  3. Step 3: Cross multiply
    579.57x = 800.13 × 432.56
  4. Step 4: Simplify right side
    579.57x = 346,100.23
  5. Step 5: Solve for x
    x = 346,100.23/579.57
  6. Step 6: Final answer
    x = 597.17

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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.