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Finding the Fourth Proportional to 589.86, 878.25 and 588.05

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Solution

The fourth proportional to 589.86, 878.25 and 588.05 is: 875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.86 : 878.25 = 588.05 : x
  2. Step 2: Convert to fraction form
    589.86/878.25 = 588.05/x
  3. Step 3: Cross multiply
    589.86x = 878.25 × 588.05
  4. Step 4: Simplify right side
    589.86x = 516,450.52
  5. Step 5: Solve for x
    x = 516,450.52/589.86
  6. Step 6: Final answer
    x = 875.55

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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.