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Finding the Fourth Proportional to 845.62, 1,166.80 and 491.58

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Solution

The fourth proportional to 845.62, 1,166.80 and 491.58 is: 678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.62 : 1,166.80 = 491.58 : x
  2. Step 2: Convert to fraction form
    845.62/1,166.80 = 491.58/x
  3. Step 3: Cross multiply
    845.62x = 1,166.80 × 491.58
  4. Step 4: Simplify right side
    845.62x = 573,575.54
  5. Step 5: Solve for x
    x = 573,575.54/845.62
  6. Step 6: Final answer
    x = 678.29

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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.