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Finding the Fourth Proportional to 1,438.62, 1,985.33 and 809.15

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Solution

The fourth proportional to 1,438.62, 1,985.33 and 809.15 is: 1,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.62 : 1,985.33 = 809.15 : x
  2. Step 2: Convert to fraction form
    1,438.62/1,985.33 = 809.15/x
  3. Step 3: Cross multiply
    1,438.62x = 1,985.33 × 809.15
  4. Step 4: Simplify right side
    1,438.62x = 1,606,419.84
  5. Step 5: Solve for x
    x = 1,606,419.84/1,438.62
  6. Step 6: Final answer
    x = 1,116.64

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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.