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Finding the Fourth Proportional to 1,267.40, 1,905.15 and 904.70

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Solution

The fourth proportional to 1,267.40, 1,905.15 and 904.70 is: 1,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.40 : 1,905.15 = 904.70 : x
  2. Step 2: Convert to fraction form
    1,267.40/1,905.15 = 904.70/x
  3. Step 3: Cross multiply
    1,267.40x = 1,905.15 × 904.70
  4. Step 4: Simplify right side
    1,267.40x = 1,723,589.21
  5. Step 5: Solve for x
    x = 1,723,589.21/1,267.40
  6. Step 6: Final answer
    x = 1,359.94

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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.