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Finding the Fourth Proportional to 1,439.01, 1,985.76 and 809.55

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Solution

The fourth proportional to 1,439.01, 1,985.76 and 809.55 is: 1,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.01 : 1,985.76 = 809.55 : x
  2. Step 2: Convert to fraction form
    1,439.01/1,985.76 = 809.55/x
  3. Step 3: Cross multiply
    1,439.01x = 1,985.76 × 809.55
  4. Step 4: Simplify right side
    1,439.01x = 1,607,572.01
  5. Step 5: Solve for x
    x = 1,607,572.01/1,439.01
  6. Step 6: Final answer
    x = 1,117.14

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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.