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Finding the Fourth Proportional to 905.17, 1,357.47 and 472.09

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Solution

The fourth proportional to 905.17, 1,357.47 and 472.09 is: 707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.17 : 1,357.47 = 472.09 : x
  2. Step 2: Convert to fraction form
    905.17/1,357.47 = 472.09/x
  3. Step 3: Cross multiply
    905.17x = 1,357.47 × 472.09
  4. Step 4: Simplify right side
    905.17x = 640,848.01
  5. Step 5: Solve for x
    x = 640,848.01/905.17
  6. Step 6: Final answer
    x = 707.99

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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.