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Finding the Fourth Proportional to 905.48, 1,356.33 and 579.19

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Solution

The fourth proportional to 905.48, 1,356.33 and 579.19 is: 867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.48 : 1,356.33 = 579.19 : x
  2. Step 2: Convert to fraction form
    905.48/1,356.33 = 579.19/x
  3. Step 3: Cross multiply
    905.48x = 1,356.33 × 579.19
  4. Step 4: Simplify right side
    905.48x = 785,572.77
  5. Step 5: Solve for x
    x = 785,572.77/905.48
  6. Step 6: Final answer
    x = 867.58

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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.