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Finding the Fourth Proportional to 971.77, 1,341.22 and 573.41

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Solution

The fourth proportional to 971.77, 1,341.22 and 573.41 is: 791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.77 : 1,341.22 = 573.41 : x
  2. Step 2: Convert to fraction form
    971.77/1,341.22 = 573.41/x
  3. Step 3: Cross multiply
    971.77x = 1,341.22 × 573.41
  4. Step 4: Simplify right side
    971.77x = 769,068.96
  5. Step 5: Solve for x
    x = 769,068.96/971.77
  6. Step 6: Final answer
    x = 791.41

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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.