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Finding the Fourth Proportional to 1,438.76, 1,985.42 and 809.39

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Solution

The fourth proportional to 1,438.76, 1,985.42 and 809.39 is: 1,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.76 : 1,985.42 = 809.39 : x
  2. Step 2: Convert to fraction form
    1,438.76/1,985.42 = 809.39/x
  3. Step 3: Cross multiply
    1,438.76x = 1,985.42 × 809.39
  4. Step 4: Simplify right side
    1,438.76x = 1,606,970.08
  5. Step 5: Solve for x
    x = 1,606,970.08/1,438.76
  6. Step 6: Final answer
    x = 1,116.92

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1.5x scale

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.