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Finding the Fourth Proportional to 1,267.61, 1,901.39 and 573.78

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Solution

The fourth proportional to 1,267.61, 1,901.39 and 573.78 is: 860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.61 : 1,901.39 = 573.78 : x
  2. Step 2: Convert to fraction form
    1,267.61/1,901.39 = 573.78/x
  3. Step 3: Cross multiply
    1,267.61x = 1,901.39 × 573.78
  4. Step 4: Simplify right side
    1,267.61x = 1,090,969.56
  5. Step 5: Solve for x
    x = 1,090,969.56/1,267.61
  6. Step 6: Final answer
    x = 860.65

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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.