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Finding the Fourth Proportional to 905.02, 1,357.02 and 357.05

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Solution

The fourth proportional to 905.02, 1,357.02 and 357.05 is: 535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.02 : 1,357.02 = 357.05 : x
  2. Step 2: Convert to fraction form
    905.02/1,357.02 = 357.05/x
  3. Step 3: Cross multiply
    905.02x = 1,357.02 × 357.05
  4. Step 4: Simplify right side
    905.02x = 484,527.38
  5. Step 5: Solve for x
    x = 484,527.38/905.02
  6. Step 6: Final answer
    x = 535.38

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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.