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Finding the Fourth Proportional to 933.98, 1,401.44 and 661.82

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Solution

The fourth proportional to 933.98, 1,401.44 and 661.82 is: 993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.98 : 1,401.44 = 661.82 : x
  2. Step 2: Convert to fraction form
    933.98/1,401.44 = 661.82/x
  3. Step 3: Cross multiply
    933.98x = 1,401.44 × 661.82
  4. Step 4: Simplify right side
    933.98x = 927,501.02
  5. Step 5: Solve for x
    x = 927,501.02/933.98
  6. Step 6: Final answer
    x = 993.06

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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.