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Finding the Fourth Proportional to 907.76, 1,249.88 and 760.07

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Solution

The fourth proportional to 907.76, 1,249.88 and 760.07 is: 1,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.76 : 1,249.88 = 760.07 : x
  2. Step 2: Convert to fraction form
    907.76/1,249.88 = 760.07/x
  3. Step 3: Cross multiply
    907.76x = 1,249.88 × 760.07
  4. Step 4: Simplify right side
    907.76x = 949,986.24
  5. Step 5: Solve for x
    x = 949,986.24/907.76
  6. Step 6: Final answer
    x = 1,046.52

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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.