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Finding the Fourth Proportional to 908.06, 1,252.91 and 535.01

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Solution

The fourth proportional to 908.06, 1,252.91 and 535.01 is: 738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.06 : 1,252.91 = 535.01 : x
  2. Step 2: Convert to fraction form
    908.06/1,252.91 = 535.01/x
  3. Step 3: Cross multiply
    908.06x = 1,252.91 × 535.01
  4. Step 4: Simplify right side
    908.06x = 670,316.70
  5. Step 5: Solve for x
    x = 670,316.70/908.06
  6. Step 6: Final answer
    x = 738.19

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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.