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Finding the Fourth Proportional to 642.66, 958.78 and 589.80

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Solution

The fourth proportional to 642.66, 958.78 and 589.80 is: 879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.66 : 958.78 = 589.80 : x
  2. Step 2: Convert to fraction form
    642.66/958.78 = 589.80/x
  3. Step 3: Cross multiply
    642.66x = 958.78 × 589.80
  4. Step 4: Simplify right side
    642.66x = 565,488.44
  5. Step 5: Solve for x
    x = 565,488.44/642.66
  6. Step 6: Final answer
    x = 879.92

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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.