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Finding the Fourth Proportional to 579.70, 800.76 and 432.08

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Solution

The fourth proportional to 579.70, 800.76 and 432.08 is: 596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.70 : 800.76 = 432.08 : x
  2. Step 2: Convert to fraction form
    579.70/800.76 = 432.08/x
  3. Step 3: Cross multiply
    579.70x = 800.76 × 432.08
  4. Step 4: Simplify right side
    579.70x = 345,990.76
  5. Step 5: Solve for x
    x = 345,990.76/579.70
  6. Step 6: Final answer
    x = 596.84

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1.5x scale

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.