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Finding the Fourth Proportional to 933.98, 1,398.27 and 727.93

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Solution

The fourth proportional to 933.98, 1,398.27 and 727.93 is: 1,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.98 : 1,398.27 = 727.93 : x
  2. Step 2: Convert to fraction form
    933.98/1,398.27 = 727.93/x
  3. Step 3: Cross multiply
    933.98x = 1,398.27 × 727.93
  4. Step 4: Simplify right side
    933.98x = 1,017,835.55
  5. Step 5: Solve for x
    x = 1,017,835.55/933.98
  6. Step 6: Final answer
    x = 1,089.78

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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.