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Finding the Fourth Proportional to 840.55, 1,161.06 and 646.46

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Solution

The fourth proportional to 840.55, 1,161.06 and 646.46 is: 892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.55 : 1,161.06 = 646.46 : x
  2. Step 2: Convert to fraction form
    840.55/1,161.06 = 646.46/x
  3. Step 3: Cross multiply
    840.55x = 1,161.06 × 646.46
  4. Step 4: Simplify right side
    840.55x = 750,578.85
  5. Step 5: Solve for x
    x = 750,578.85/840.55
  6. Step 6: Final answer
    x = 892.96

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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.