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Finding the Fourth Proportional to 872.99, 1,204.72 and 480.01

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Solution

The fourth proportional to 872.99, 1,204.72 and 480.01 is: 662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.99 : 1,204.72 = 480.01 : x
  2. Step 2: Convert to fraction form
    872.99/1,204.72 = 480.01/x
  3. Step 3: Cross multiply
    872.99x = 1,204.72 × 480.01
  4. Step 4: Simplify right side
    872.99x = 578,277.65
  5. Step 5: Solve for x
    x = 578,277.65/872.99
  6. Step 6: Final answer
    x = 662.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.