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Finding the Fourth Proportional to 845.19, 1,166.36 and 491.18

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Solution

The fourth proportional to 845.19, 1,166.36 and 491.18 is: 677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.19 : 1,166.36 = 491.18 : x
  2. Step 2: Convert to fraction form
    845.19/1,166.36 = 491.18/x
  3. Step 3: Cross multiply
    845.19x = 1,166.36 × 491.18
  4. Step 4: Simplify right side
    845.19x = 572,884.42
  5. Step 5: Solve for x
    x = 572,884.42/845.19
  6. Step 6: Final answer
    x = 677.82

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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.