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Finding the Fourth Proportional to 845.32, 1,166.46 and 491.26

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Solution

The fourth proportional to 845.32, 1,166.46 and 491.26 is: 677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.32 : 1,166.46 = 491.26 : x
  2. Step 2: Convert to fraction form
    845.32/1,166.46 = 491.26/x
  3. Step 3: Cross multiply
    845.32x = 1,166.46 × 491.26
  4. Step 4: Simplify right side
    845.32x = 573,035.14
  5. Step 5: Solve for x
    x = 573,035.14/845.32
  6. Step 6: Final answer
    x = 677.89

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1.5x scale

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.