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Finding the Fourth Proportional to 1,062.28, 1,466.66 and 664.55

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Solution

The fourth proportional to 1,062.28, 1,466.66 and 664.55 is: 917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.28 : 1,466.66 = 664.55 : x
  2. Step 2: Convert to fraction form
    1,062.28/1,466.66 = 664.55/x
  3. Step 3: Cross multiply
    1,062.28x = 1,466.66 × 664.55
  4. Step 4: Simplify right side
    1,062.28x = 974,658.25
  5. Step 5: Solve for x
    x = 974,658.25/1,062.28
  6. Step 6: Final answer
    x = 917.51

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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.