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Finding the Fourth Proportional to 1,008.86, 1,512 and 946.55

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Solution

The fourth proportional to 1,008.86, 1,512 and 946.55 is: 1,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.86 : 1,512 = 946.55 : x
  2. Step 2: Convert to fraction form
    1,008.86/1,512 = 946.55/x
  3. Step 3: Cross multiply
    1,008.86x = 1,512 × 946.55
  4. Step 4: Simplify right side
    1,008.86x = 1,431,187.38
  5. Step 5: Solve for x
    x = 1,431,187.38/1,008.86
  6. Step 6: Final answer
    x = 1,418.63

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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.