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Finding the Fourth Proportional to 1,405.71, 2,108.25 and 539.46

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Solution

The fourth proportional to 1,405.71, 2,108.25 and 539.46 is: 809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.71 : 2,108.25 = 539.46 : x
  2. Step 2: Convert to fraction form
    1,405.71/2,108.25 = 539.46/x
  3. Step 3: Cross multiply
    1,405.71x = 2,108.25 × 539.46
  4. Step 4: Simplify right side
    1,405.71x = 1,137,316.55
  5. Step 5: Solve for x
    x = 1,137,316.55/1,405.71
  6. Step 6: Final answer
    x = 809.07

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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.