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Finding the Fourth Proportional to 971.81, 1,341.22 and 552.23

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Solution

The fourth proportional to 971.81, 1,341.22 and 552.23 is: 762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.81 : 1,341.22 = 552.23 : x
  2. Step 2: Convert to fraction form
    971.81/1,341.22 = 552.23/x
  3. Step 3: Cross multiply
    971.81x = 1,341.22 × 552.23
  4. Step 4: Simplify right side
    971.81x = 740,655.21
  5. Step 5: Solve for x
    x = 740,655.21/971.81
  6. Step 6: Final answer
    x = 762.14

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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.