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Finding the Fourth Proportional to 1,014.83, 1,512.14 and 905.78

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Solution

The fourth proportional to 1,014.83, 1,512.14 and 905.78 is: 1,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.83 : 1,512.14 = 905.78 : x
  2. Step 2: Convert to fraction form
    1,014.83/1,512.14 = 905.78/x
  3. Step 3: Cross multiply
    1,014.83x = 1,512.14 × 905.78
  4. Step 4: Simplify right side
    1,014.83x = 1,369,665.42
  5. Step 5: Solve for x
    x = 1,369,665.42/1,014.83
  6. Step 6: Final answer
    x = 1,349.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.