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Finding the Fourth Proportional to 580.59, 800.60 and 521.82

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Solution

The fourth proportional to 580.59, 800.60 and 521.82 is: 719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.59 : 800.60 = 521.82 : x
  2. Step 2: Convert to fraction form
    580.59/800.60 = 521.82/x
  3. Step 3: Cross multiply
    580.59x = 800.60 × 521.82
  4. Step 4: Simplify right side
    580.59x = 417,770.40
  5. Step 5: Solve for x
    x = 417,770.40/580.59
  6. Step 6: Final answer
    x = 719.56

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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.