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Finding the Fourth Proportional to 1,266.39, 1,898.70 and 649.59

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Solution

The fourth proportional to 1,266.39, 1,898.70 and 649.59 is: 973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.39 : 1,898.70 = 649.59 : x
  2. Step 2: Convert to fraction form
    1,266.39/1,898.70 = 649.59/x
  3. Step 3: Cross multiply
    1,266.39x = 1,898.70 × 649.59
  4. Step 4: Simplify right side
    1,266.39x = 1,233,376.53
  5. Step 5: Solve for x
    x = 1,233,376.53/1,266.39
  6. Step 6: Final answer
    x = 973.93

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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.