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Finding the Fourth Proportional to 1,210.31, 1,816.50 and 480.41

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Solution

The fourth proportional to 1,210.31, 1,816.50 and 480.41 is: 721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.31 : 1,816.50 = 480.41 : x
  2. Step 2: Convert to fraction form
    1,210.31/1,816.50 = 480.41/x
  3. Step 3: Cross multiply
    1,210.31x = 1,816.50 × 480.41
  4. Step 4: Simplify right side
    1,210.31x = 872,655.68
  5. Step 5: Solve for x
    x = 872,655.68/1,210.31
  6. Step 6: Final answer
    x = 721.02

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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.