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Finding the Fourth Proportional to 845.35, 1,266.66 and 515.92

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Solution

The fourth proportional to 845.35, 1,266.66 and 515.92 is: 773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.35 : 1,266.66 = 515.92 : x
  2. Step 2: Convert to fraction form
    845.35/1,266.66 = 515.92/x
  3. Step 3: Cross multiply
    845.35x = 1,266.66 × 515.92
  4. Step 4: Simplify right side
    845.35x = 653,495.23
  5. Step 5: Solve for x
    x = 653,495.23/845.35
  6. Step 6: Final answer
    x = 773.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.