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Finding the Fourth Proportional to 841.83, 1,161.43 and 522.55

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Solution

The fourth proportional to 841.83, 1,161.43 and 522.55 is: 720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.83 : 1,161.43 = 522.55 : x
  2. Step 2: Convert to fraction form
    841.83/1,161.43 = 522.55/x
  3. Step 3: Cross multiply
    841.83x = 1,161.43 × 522.55
  4. Step 4: Simplify right side
    841.83x = 606,905.25
  5. Step 5: Solve for x
    x = 606,905.25/841.83
  6. Step 6: Final answer
    x = 720.94

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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.