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Finding the Fourth Proportional to 580.57, 799.88 and 564.17

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Solution

The fourth proportional to 580.57, 799.88 and 564.17 is: 777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.57 : 799.88 = 564.17 : x
  2. Step 2: Convert to fraction form
    580.57/799.88 = 564.17/x
  3. Step 3: Cross multiply
    580.57x = 799.88 × 564.17
  4. Step 4: Simplify right side
    580.57x = 451,261.48
  5. Step 5: Solve for x
    x = 451,261.48/580.57
  6. Step 6: Final answer
    x = 777.28

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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.