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Finding the Fourth Proportional to 933.43, 1,400.43 and 385.65

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Solution

The fourth proportional to 933.43, 1,400.43 and 385.65 is: 578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.43 : 1,400.43 = 385.65 : x
  2. Step 2: Convert to fraction form
    933.43/1,400.43 = 385.65/x
  3. Step 3: Cross multiply
    933.43x = 1,400.43 × 385.65
  4. Step 4: Simplify right side
    933.43x = 540,075.83
  5. Step 5: Solve for x
    x = 540,075.83/933.43
  6. Step 6: Final answer
    x = 578.59

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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.