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Finding the Fourth Proportional to 580.69, 796.15 and 570.29

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Solution

The fourth proportional to 580.69, 796.15 and 570.29 is: 781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.69 : 796.15 = 570.29 : x
  2. Step 2: Convert to fraction form
    580.69/796.15 = 570.29/x
  3. Step 3: Cross multiply
    580.69x = 796.15 × 570.29
  4. Step 4: Simplify right side
    580.69x = 454,036.38
  5. Step 5: Solve for x
    x = 454,036.38/580.69
  6. Step 6: Final answer
    x = 781.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.