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Finding the Fourth Proportional to 907.89, 1,254.44 and 723

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Solution

The fourth proportional to 907.89, 1,254.44 and 723 is: 998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.89 : 1,254.44 = 723 : x
  2. Step 2: Convert to fraction form
    907.89/1,254.44 = 723/x
  3. Step 3: Cross multiply
    907.89x = 1,254.44 × 723
  4. Step 4: Simplify right side
    907.89x = 906,960.12
  5. Step 5: Solve for x
    x = 906,960.12/907.89
  6. Step 6: Final answer
    x = 998.98

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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.