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Finding the Fourth Proportional to 1,012.97, 1,398.51 and 907.88

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Solution

The fourth proportional to 1,012.97, 1,398.51 and 907.88 is: 1,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.97 : 1,398.51 = 907.88 : x
  2. Step 2: Convert to fraction form
    1,012.97/1,398.51 = 907.88/x
  3. Step 3: Cross multiply
    1,012.97x = 1,398.51 × 907.88
  4. Step 4: Simplify right side
    1,012.97x = 1,269,672.27
  5. Step 5: Solve for x
    x = 1,269,672.27/1,012.97
  6. Step 6: Final answer
    x = 1,253.41

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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.