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Finding the Fourth Proportional to 1,269.72, 1,902.96 and 619.29

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Solution

The fourth proportional to 1,269.72, 1,902.96 and 619.29 is: 928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.72 : 1,902.96 = 619.29 : x
  2. Step 2: Convert to fraction form
    1,269.72/1,902.96 = 619.29/x
  3. Step 3: Cross multiply
    1,269.72x = 1,902.96 × 619.29
  4. Step 4: Simplify right side
    1,269.72x = 1,178,484.10
  5. Step 5: Solve for x
    x = 1,178,484.10/1,269.72
  6. Step 6: Final answer
    x = 928.14

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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.