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Finding the Fourth Proportional to 1,267.26, 1,902.09 and 651.40

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Solution

The fourth proportional to 1,267.26, 1,902.09 and 651.40 is: 977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.26 : 1,902.09 = 651.40 : x
  2. Step 2: Convert to fraction form
    1,267.26/1,902.09 = 651.40/x
  3. Step 3: Cross multiply
    1,267.26x = 1,902.09 × 651.40
  4. Step 4: Simplify right side
    1,267.26x = 1,239,025.32
  5. Step 5: Solve for x
    x = 1,239,025.32/1,267.26
  6. Step 6: Final answer
    x = 977.72

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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.