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Finding the Fourth Proportional to 933.18, 1,400.17 and 385.48

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Solution

The fourth proportional to 933.18, 1,400.17 and 385.48 is: 578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.18 : 1,400.17 = 385.48 : x
  2. Step 2: Convert to fraction form
    933.18/1,400.17 = 385.48/x
  3. Step 3: Cross multiply
    933.18x = 1,400.17 × 385.48
  4. Step 4: Simplify right side
    933.18x = 539,737.53
  5. Step 5: Solve for x
    x = 539,737.53/933.18
  6. Step 6: Final answer
    x = 578.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.