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Finding the Fourth Proportional to 1,433.70, 1,978.68 and 937.78

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Solution

The fourth proportional to 1,433.70, 1,978.68 and 937.78 is: 1,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.70 : 1,978.68 = 937.78 : x
  2. Step 2: Convert to fraction form
    1,433.70/1,978.68 = 937.78/x
  3. Step 3: Cross multiply
    1,433.70x = 1,978.68 × 937.78
  4. Step 4: Simplify right side
    1,433.70x = 1,855,566.53
  5. Step 5: Solve for x
    x = 1,855,566.53/1,433.70
  6. Step 6: Final answer
    x = 1,294.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.