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Finding the Fourth Proportional to 913.66, 1,370.93 and 717.44

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Solution

The fourth proportional to 913.66, 1,370.93 and 717.44 is: 1,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.66 : 1,370.93 = 717.44 : x
  2. Step 2: Convert to fraction form
    913.66/1,370.93 = 717.44/x
  3. Step 3: Cross multiply
    913.66x = 1,370.93 × 717.44
  4. Step 4: Simplify right side
    913.66x = 983,549.58
  5. Step 5: Solve for x
    x = 983,549.58/913.66
  6. Step 6: Final answer
    x = 1,076.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.