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Finding the Fourth Proportional to 933.45, 1,400.18 and 609.09

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Solution

The fourth proportional to 933.45, 1,400.18 and 609.09 is: 913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.45 : 1,400.18 = 609.09 : x
  2. Step 2: Convert to fraction form
    933.45/1,400.18 = 609.09/x
  3. Step 3: Cross multiply
    933.45x = 1,400.18 × 609.09
  4. Step 4: Simplify right side
    933.45x = 852,832.59
  5. Step 5: Solve for x
    x = 852,832.59/933.45
  6. Step 6: Final answer
    x = 913.64

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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.