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Finding the Fourth Proportional to 845.01, 1,166.93 and 657.90

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Solution

The fourth proportional to 845.01, 1,166.93 and 657.90 is: 908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.01 : 1,166.93 = 657.90 : x
  2. Step 2: Convert to fraction form
    845.01/1,166.93 = 657.90/x
  3. Step 3: Cross multiply
    845.01x = 1,166.93 × 657.90
  4. Step 4: Simplify right side
    845.01x = 767,723.25
  5. Step 5: Solve for x
    x = 767,723.25/845.01
  6. Step 6: Final answer
    x = 908.54

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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.