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Finding the Fourth Proportional to 589.77, 886.68 and 574.38

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Solution

The fourth proportional to 589.77, 886.68 and 574.38 is: 863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.77 : 886.68 = 574.38 : x
  2. Step 2: Convert to fraction form
    589.77/886.68 = 574.38/x
  3. Step 3: Cross multiply
    589.77x = 886.68 × 574.38
  4. Step 4: Simplify right side
    589.77x = 509,291.26
  5. Step 5: Solve for x
    x = 509,291.26/589.77
  6. Step 6: Final answer
    x = 863.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.