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Finding the Fourth Proportional to 1,267.55, 1,900.14 and 649.89

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Solution

The fourth proportional to 1,267.55, 1,900.14 and 649.89 is: 974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.55 : 1,900.14 = 649.89 : x
  2. Step 2: Convert to fraction form
    1,267.55/1,900.14 = 649.89/x
  3. Step 3: Cross multiply
    1,267.55x = 1,900.14 × 649.89
  4. Step 4: Simplify right side
    1,267.55x = 1,234,881.98
  5. Step 5: Solve for x
    x = 1,234,881.98/1,267.55
  6. Step 6: Final answer
    x = 974.23

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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.