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Finding the Fourth Proportional to 845.42, 1,166.81 and 491.29

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Solution

The fourth proportional to 845.42, 1,166.81 and 491.29 is: 678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.42 : 1,166.81 = 491.29 : x
  2. Step 2: Convert to fraction form
    845.42/1,166.81 = 491.29/x
  3. Step 3: Cross multiply
    845.42x = 1,166.81 × 491.29
  4. Step 4: Simplify right side
    845.42x = 573,236.71
  5. Step 5: Solve for x
    x = 573,236.71/845.42
  6. Step 6: Final answer
    x = 678.05

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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.