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Finding the Fourth Proportional to 589.82, 878.95 and 570.23

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Solution

The fourth proportional to 589.82, 878.95 and 570.23 is: 849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.82 : 878.95 = 570.23 : x
  2. Step 2: Convert to fraction form
    589.82/878.95 = 570.23/x
  3. Step 3: Cross multiply
    589.82x = 878.95 × 570.23
  4. Step 4: Simplify right side
    589.82x = 501,203.66
  5. Step 5: Solve for x
    x = 501,203.66/589.82
  6. Step 6: Final answer
    x = 849.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.