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Finding the Fourth Proportional to 1,267.24, 1,901.67 and 617.62

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Solution

The fourth proportional to 1,267.24, 1,901.67 and 617.62 is: 926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.24 : 1,901.67 = 617.62 : x
  2. Step 2: Convert to fraction form
    1,267.24/1,901.67 = 617.62/x
  3. Step 3: Cross multiply
    1,267.24x = 1,901.67 × 617.62
  4. Step 4: Simplify right side
    1,267.24x = 1,174,509.43
  5. Step 5: Solve for x
    x = 1,174,509.43/1,267.24
  6. Step 6: Final answer
    x = 926.82

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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.