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Finding the Fourth Proportional to 1,266.81, 1,898.78 and 616.05

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Solution

The fourth proportional to 1,266.81, 1,898.78 and 616.05 is: 923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.81 : 1,898.78 = 616.05 : x
  2. Step 2: Convert to fraction form
    1,266.81/1,898.78 = 616.05/x
  3. Step 3: Cross multiply
    1,266.81x = 1,898.78 × 616.05
  4. Step 4: Simplify right side
    1,266.81x = 1,169,740.34
  5. Step 5: Solve for x
    x = 1,169,740.34/1,266.81
  6. Step 6: Final answer
    x = 923.37

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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.