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Finding the Fourth Proportional to 933.34, 1,400.06 and 385.33

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Solution

The fourth proportional to 933.34, 1,400.06 and 385.33 is: 578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.34 : 1,400.06 = 385.33 : x
  2. Step 2: Convert to fraction form
    933.34/1,400.06 = 385.33/x
  3. Step 3: Cross multiply
    933.34x = 1,400.06 × 385.33
  4. Step 4: Simplify right side
    933.34x = 539,485.12
  5. Step 5: Solve for x
    x = 539,485.12/933.34
  6. Step 6: Final answer
    x = 578.02

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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.