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Finding the Fourth Proportional to 933.94, 1,400.96 and 661.25

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Solution

The fourth proportional to 933.94, 1,400.96 and 661.25 is: 991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.94 : 1,400.96 = 661.25 : x
  2. Step 2: Convert to fraction form
    933.94/1,400.96 = 661.25/x
  3. Step 3: Cross multiply
    933.94x = 1,400.96 × 661.25
  4. Step 4: Simplify right side
    933.94x = 926,384.80
  5. Step 5: Solve for x
    x = 926,384.80/933.94
  6. Step 6: Final answer
    x = 991.91

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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.