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Finding the Fourth Proportional to 905.00, 1,356.29 and 466.22

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Solution

The fourth proportional to 905.00, 1,356.29 and 466.22 is: 698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.00 : 1,356.29 = 466.22 : x
  2. Step 2: Convert to fraction form
    905.00/1,356.29 = 466.22/x
  3. Step 3: Cross multiply
    905.00x = 1,356.29 × 466.22
  4. Step 4: Simplify right side
    905.00x = 632,320.41
  5. Step 5: Solve for x
    x = 632,320.41/905.00
  6. Step 6: Final answer
    x = 698.70

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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.