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Finding the Fourth Proportional to 845.72, 1,166.78 and 496.28

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Solution

The fourth proportional to 845.72, 1,166.78 and 496.28 is: 684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.72 : 1,166.78 = 496.28 : x
  2. Step 2: Convert to fraction form
    845.72/1,166.78 = 496.28/x
  3. Step 3: Cross multiply
    845.72x = 1,166.78 × 496.28
  4. Step 4: Simplify right side
    845.72x = 579,049.58
  5. Step 5: Solve for x
    x = 579,049.58/845.72
  6. Step 6: Final answer
    x = 684.68

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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.