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Finding the Fourth Proportional to 638.65, 952.35 and 588.16

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Solution

The fourth proportional to 638.65, 952.35 and 588.16 is: 877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.65 : 952.35 = 588.16 : x
  2. Step 2: Convert to fraction form
    638.65/952.35 = 588.16/x
  3. Step 3: Cross multiply
    638.65x = 952.35 × 588.16
  4. Step 4: Simplify right side
    638.65x = 560,131.80
  5. Step 5: Solve for x
    x = 560,131.80/638.65
  6. Step 6: Final answer
    x = 877.06

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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.