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Finding the Fourth Proportional to 938.84, 1,400.83 and 933.40

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Solution

The fourth proportional to 938.84, 1,400.83 and 933.40 is: 1,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.84 : 1,400.83 = 933.40 : x
  2. Step 2: Convert to fraction form
    938.84/1,400.83 = 933.40/x
  3. Step 3: Cross multiply
    938.84x = 1,400.83 × 933.40
  4. Step 4: Simplify right side
    938.84x = 1,307,534.72
  5. Step 5: Solve for x
    x = 1,307,534.72/938.84
  6. Step 6: Final answer
    x = 1,392.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.