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Finding the Fourth Proportional to 917.91, 1,378.49 and 712.71

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Solution

The fourth proportional to 917.91, 1,378.49 and 712.71 is: 1,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.91 : 1,378.49 = 712.71 : x
  2. Step 2: Convert to fraction form
    917.91/1,378.49 = 712.71/x
  3. Step 3: Cross multiply
    917.91x = 1,378.49 × 712.71
  4. Step 4: Simplify right side
    917.91x = 982,460.04
  5. Step 5: Solve for x
    x = 982,460.04/917.91
  6. Step 6: Final answer
    x = 1,070.32

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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.