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Finding the Fourth Proportional to 971.66, 1,340.89 and 573.55

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Solution

The fourth proportional to 971.66, 1,340.89 and 573.55 is: 791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.66 : 1,340.89 = 573.55 : x
  2. Step 2: Convert to fraction form
    971.66/1,340.89 = 573.55/x
  3. Step 3: Cross multiply
    971.66x = 1,340.89 × 573.55
  4. Step 4: Simplify right side
    971.66x = 769,062.67
  5. Step 5: Solve for x
    x = 769,062.67/971.66
  6. Step 6: Final answer
    x = 791.49

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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.