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Finding the Fourth Proportional to 971.78, 1,341.06 and 573.45

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Solution

The fourth proportional to 971.78, 1,341.06 and 573.45 is: 791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.78 : 1,341.06 = 573.45 : x
  2. Step 2: Convert to fraction form
    971.78/1,341.06 = 573.45/x
  3. Step 3: Cross multiply
    971.78x = 1,341.06 × 573.45
  4. Step 4: Simplify right side
    971.78x = 769,030.86
  5. Step 5: Solve for x
    x = 769,030.86/971.78
  6. Step 6: Final answer
    x = 791.37

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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.