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Finding the Fourth Proportional to 971.91, 1,341.19 and 552.21

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Solution

The fourth proportional to 971.91, 1,341.19 and 552.21 is: 762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.91 : 1,341.19 = 552.21 : x
  2. Step 2: Convert to fraction form
    971.91/1,341.19 = 552.21/x
  3. Step 3: Cross multiply
    971.91x = 1,341.19 × 552.21
  4. Step 4: Simplify right side
    971.91x = 740,609.41
  5. Step 5: Solve for x
    x = 740,609.41/971.91
  6. Step 6: Final answer
    x = 762.02

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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.