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Finding the Fourth Proportional to 1,869.91, 2,804.77 and 483.25

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Solution

The fourth proportional to 1,869.91, 2,804.77 and 483.25 is: 724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.91 : 2,804.77 = 483.25 : x
  2. Step 2: Convert to fraction form
    1,869.91/2,804.77 = 483.25/x
  3. Step 3: Cross multiply
    1,869.91x = 2,804.77 × 483.25
  4. Step 4: Simplify right side
    1,869.91x = 1,355,405.10
  5. Step 5: Solve for x
    x = 1,355,405.10/1,869.91
  6. Step 6: Final answer
    x = 724.85

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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.