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Finding the Fourth Proportional to 971.11, 1,455.85 and 354.46

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Solution

The fourth proportional to 971.11, 1,455.85 and 354.46 is: 531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.11 : 1,455.85 = 354.46 : x
  2. Step 2: Convert to fraction form
    971.11/1,455.85 = 354.46/x
  3. Step 3: Cross multiply
    971.11x = 1,455.85 × 354.46
  4. Step 4: Simplify right side
    971.11x = 516,039.13
  5. Step 5: Solve for x
    x = 516,039.13/971.11
  6. Step 6: Final answer
    x = 531.39

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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.