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Finding the Fourth Proportional to 905.60, 1,357.47 and 357.03

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Solution

The fourth proportional to 905.60, 1,357.47 and 357.03 is: 535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.60 : 1,357.47 = 357.03 : x
  2. Step 2: Convert to fraction form
    905.60/1,357.47 = 357.03/x
  3. Step 3: Cross multiply
    905.60x = 1,357.47 × 357.03
  4. Step 4: Simplify right side
    905.60x = 484,650.73
  5. Step 5: Solve for x
    x = 484,650.73/905.60
  6. Step 6: Final answer
    x = 535.17

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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.