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Finding the Fourth Proportional to 913.98, 1,261.62 and 717.54

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Solution

The fourth proportional to 913.98, 1,261.62 and 717.54 is: 990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.98 : 1,261.62 = 717.54 : x
  2. Step 2: Convert to fraction form
    913.98/1,261.62 = 717.54/x
  3. Step 3: Cross multiply
    913.98x = 1,261.62 × 717.54
  4. Step 4: Simplify right side
    913.98x = 905,262.81
  5. Step 5: Solve for x
    x = 905,262.81/913.98
  6. Step 6: Final answer
    x = 990.46

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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.