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Finding the Fourth Proportional to 589.26, 879.26 and 569.45

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Solution

The fourth proportional to 589.26, 879.26 and 569.45 is: 849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.26 : 879.26 = 569.45 : x
  2. Step 2: Convert to fraction form
    589.26/879.26 = 569.45/x
  3. Step 3: Cross multiply
    589.26x = 879.26 × 569.45
  4. Step 4: Simplify right side
    589.26x = 500,687.36
  5. Step 5: Solve for x
    x = 500,687.36/589.26
  6. Step 6: Final answer
    x = 849.69

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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.