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Finding the Fourth Proportional to 1,062.37, 1,466.20 and 813.59

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Solution

The fourth proportional to 1,062.37, 1,466.20 and 813.59 is: 1,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.37 : 1,466.20 = 813.59 : x
  2. Step 2: Convert to fraction form
    1,062.37/1,466.20 = 813.59/x
  3. Step 3: Cross multiply
    1,062.37x = 1,466.20 × 813.59
  4. Step 4: Simplify right side
    1,062.37x = 1,192,893.09
  5. Step 5: Solve for x
    x = 1,192,893.09/1,062.37
  6. Step 6: Final answer
    x = 1,122.86

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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.