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Finding the Fourth Proportional to 580.66, 804.67 and 569.72

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Solution

The fourth proportional to 580.66, 804.67 and 569.72 is: 789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.66 : 804.67 = 569.72 : x
  2. Step 2: Convert to fraction form
    580.66/804.67 = 569.72/x
  3. Step 3: Cross multiply
    580.66x = 804.67 × 569.72
  4. Step 4: Simplify right side
    580.66x = 458,437.18
  5. Step 5: Solve for x
    x = 458,437.18/580.66
  6. Step 6: Final answer
    x = 789.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.