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Finding the Fourth Proportional to 841.86, 1,161.22 and 543.49

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Solution

The fourth proportional to 841.86, 1,161.22 and 543.49 is: 749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.86 : 1,161.22 = 543.49 : x
  2. Step 2: Convert to fraction form
    841.86/1,161.22 = 543.49/x
  3. Step 3: Cross multiply
    841.86x = 1,161.22 × 543.49
  4. Step 4: Simplify right side
    841.86x = 631,111.46
  5. Step 5: Solve for x
    x = 631,111.46/841.86
  6. Step 6: Final answer
    x = 749.66

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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.