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Finding the Fourth Proportional to 933.08, 1,400.04 and 385.25

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Solution

The fourth proportional to 933.08, 1,400.04 and 385.25 is: 578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.08 : 1,400.04 = 385.25 : x
  2. Step 2: Convert to fraction form
    933.08/1,400.04 = 385.25/x
  3. Step 3: Cross multiply
    933.08x = 1,400.04 × 385.25
  4. Step 4: Simplify right side
    933.08x = 539,358.41
  5. Step 5: Solve for x
    x = 539,358.41/933.08
  6. Step 6: Final answer
    x = 578.04

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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.