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Finding the Fourth Proportional to 917.71, 1,371.52 and 671.43

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Solution

The fourth proportional to 917.71, 1,371.52 and 671.43 is: 1,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.71 : 1,371.52 = 671.43 : x
  2. Step 2: Convert to fraction form
    917.71/1,371.52 = 671.43/x
  3. Step 3: Cross multiply
    917.71x = 1,371.52 × 671.43
  4. Step 4: Simplify right side
    917.71x = 920,879.67
  5. Step 5: Solve for x
    x = 920,879.67/917.71
  6. Step 6: Final answer
    x = 1,003.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.