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Finding the Fourth Proportional to 905.50, 1,357.28 and 472.06

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Solution

The fourth proportional to 905.50, 1,357.28 and 472.06 is: 707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.50 : 1,357.28 = 472.06 : x
  2. Step 2: Convert to fraction form
    905.50/1,357.28 = 472.06/x
  3. Step 3: Cross multiply
    905.50x = 1,357.28 × 472.06
  4. Step 4: Simplify right side
    905.50x = 640,717.60
  5. Step 5: Solve for x
    x = 640,717.60/905.50
  6. Step 6: Final answer
    x = 707.58

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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.