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Finding the Fourth Proportional to 905.74, 1,358.97 and 473.20

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Solution

The fourth proportional to 905.74, 1,358.97 and 473.20 is: 709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.74 : 1,358.97 = 473.20 : x
  2. Step 2: Convert to fraction form
    905.74/1,358.97 = 473.20/x
  3. Step 3: Cross multiply
    905.74x = 1,358.97 × 473.20
  4. Step 4: Simplify right side
    905.74x = 643,064.60
  5. Step 5: Solve for x
    x = 643,064.60/905.74
  6. Step 6: Final answer
    x = 709.99

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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.