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Finding the Fourth Proportional to 632.13, 872.33 and 370.19

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Solution

The fourth proportional to 632.13, 872.33 and 370.19 is: 510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.13 : 872.33 = 370.19 : x
  2. Step 2: Convert to fraction form
    632.13/872.33 = 370.19/x
  3. Step 3: Cross multiply
    632.13x = 872.33 × 370.19
  4. Step 4: Simplify right side
    632.13x = 322,927.84
  5. Step 5: Solve for x
    x = 322,927.84/632.13
  6. Step 6: Final answer
    x = 510.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.