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Finding the Fourth Proportional to 908.19, 1,252.74 and 515.13

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Solution

The fourth proportional to 908.19, 1,252.74 and 515.13 is: 710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.19 : 1,252.74 = 515.13 : x
  2. Step 2: Convert to fraction form
    908.19/1,252.74 = 515.13/x
  3. Step 3: Cross multiply
    908.19x = 1,252.74 × 515.13
  4. Step 4: Simplify right side
    908.19x = 645,323.96
  5. Step 5: Solve for x
    x = 645,323.96/908.19
  6. Step 6: Final answer
    x = 710.56

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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.