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Finding the Fourth Proportional to 1,269.07, 1,902.29 and 782.46

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Solution

The fourth proportional to 1,269.07, 1,902.29 and 782.46 is: 1,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.07 : 1,902.29 = 782.46 : x
  2. Step 2: Convert to fraction form
    1,269.07/1,902.29 = 782.46/x
  3. Step 3: Cross multiply
    1,269.07x = 1,902.29 × 782.46
  4. Step 4: Simplify right side
    1,269.07x = 1,488,461.92
  5. Step 5: Solve for x
    x = 1,488,461.92/1,269.07
  6. Step 6: Final answer
    x = 1,172.88

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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.