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Finding the Fourth Proportional to 1,266.78, 1,903.05 and 916.47

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Solution

The fourth proportional to 1,266.78, 1,903.05 and 916.47 is: 1,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.78 : 1,903.05 = 916.47 : x
  2. Step 2: Convert to fraction form
    1,266.78/1,903.05 = 916.47/x
  3. Step 3: Cross multiply
    1,266.78x = 1,903.05 × 916.47
  4. Step 4: Simplify right side
    1,266.78x = 1,744,081.01
  5. Step 5: Solve for x
    x = 1,744,081.01/1,266.78
  6. Step 6: Final answer
    x = 1,376.78

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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.