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Finding the Fourth Proportional to 1,436.63, 1,982.48 and 807.19

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Solution

The fourth proportional to 1,436.63, 1,982.48 and 807.19 is: 1,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.63 : 1,982.48 = 807.19 : x
  2. Step 2: Convert to fraction form
    1,436.63/1,982.48 = 807.19/x
  3. Step 3: Cross multiply
    1,436.63x = 1,982.48 × 807.19
  4. Step 4: Simplify right side
    1,436.63x = 1,600,226.10
  5. Step 5: Solve for x
    x = 1,600,226.10/1,436.63
  6. Step 6: Final answer
    x = 1,113.87

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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.