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Finding the Fourth Proportional to 580.60, 803.01 and 570.88

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Solution

The fourth proportional to 580.60, 803.01 and 570.88 is: 789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.60 : 803.01 = 570.88 : x
  2. Step 2: Convert to fraction form
    580.60/803.01 = 570.88/x
  3. Step 3: Cross multiply
    580.60x = 803.01 × 570.88
  4. Step 4: Simplify right side
    580.60x = 458,422.35
  5. Step 5: Solve for x
    x = 458,422.35/580.60
  6. Step 6: Final answer
    x = 789.57

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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.