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Finding the Fourth Proportional to 971.83, 1,341.21 and 552.25

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Solution

The fourth proportional to 971.83, 1,341.21 and 552.25 is: 762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.83 : 1,341.21 = 552.25 : x
  2. Step 2: Convert to fraction form
    971.83/1,341.21 = 552.25/x
  3. Step 3: Cross multiply
    971.83x = 1,341.21 × 552.25
  4. Step 4: Simplify right side
    971.83x = 740,686.97
  5. Step 5: Solve for x
    x = 740,686.97/971.83
  6. Step 6: Final answer
    x = 762.16

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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.