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Finding the Fourth Proportional to 821.99, 1,232.99 and 726.31

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Solution

The fourth proportional to 821.99, 1,232.99 and 726.31 is: 1,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.99 : 1,232.99 = 726.31 : x
  2. Step 2: Convert to fraction form
    821.99/1,232.99 = 726.31/x
  3. Step 3: Cross multiply
    821.99x = 1,232.99 × 726.31
  4. Step 4: Simplify right side
    821.99x = 895,533.60
  5. Step 5: Solve for x
    x = 895,533.60/821.99
  6. Step 6: Final answer
    x = 1,089.47

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Double scale
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Similar ratio
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1.5x scale

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.