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Finding the Fourth Proportional to 908.18, 1,252.50 and 785.06

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Solution

The fourth proportional to 908.18, 1,252.50 and 785.06 is: 1,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.18 : 1,252.50 = 785.06 : x
  2. Step 2: Convert to fraction form
    908.18/1,252.50 = 785.06/x
  3. Step 3: Cross multiply
    908.18x = 1,252.50 × 785.06
  4. Step 4: Simplify right side
    908.18x = 983,287.65
  5. Step 5: Solve for x
    x = 983,287.65/908.18
  6. Step 6: Final answer
    x = 1,082.70

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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.