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Finding the Fourth Proportional to 905.12, 1,357.02 and 357.02

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Solution

The fourth proportional to 905.12, 1,357.02 and 357.02 is: 535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.12 : 1,357.02 = 357.02 : x
  2. Step 2: Convert to fraction form
    905.12/1,357.02 = 357.02/x
  3. Step 3: Cross multiply
    905.12x = 1,357.02 × 357.02
  4. Step 4: Simplify right side
    905.12x = 484,483.28
  5. Step 5: Solve for x
    x = 484,483.28/905.12
  6. Step 6: Final answer
    x = 535.27

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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.