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Finding the Fourth Proportional to 907.80, 1,252.83 and 760.18

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Solution

The fourth proportional to 907.80, 1,252.83 and 760.18 is: 1,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.80 : 1,252.83 = 760.18 : x
  2. Step 2: Convert to fraction form
    907.80/1,252.83 = 760.18/x
  3. Step 3: Cross multiply
    907.80x = 1,252.83 × 760.18
  4. Step 4: Simplify right side
    907.80x = 952,370.05
  5. Step 5: Solve for x
    x = 952,370.05/907.80
  6. Step 6: Final answer
    x = 1,049.10

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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.