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Finding the Fourth Proportional to 845.89, 1,167.01 and 565.84

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Solution

The fourth proportional to 845.89, 1,167.01 and 565.84 is: 780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.89 : 1,167.01 = 565.84 : x
  2. Step 2: Convert to fraction form
    845.89/1,167.01 = 565.84/x
  3. Step 3: Cross multiply
    845.89x = 1,167.01 × 565.84
  4. Step 4: Simplify right side
    845.89x = 660,334.42
  5. Step 5: Solve for x
    x = 660,334.42/845.89
  6. Step 6: Final answer
    x = 780.64

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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.