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Finding the Fourth Proportional to 1,405.66, 2,108.06 and 539.76

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Solution

The fourth proportional to 1,405.66, 2,108.06 and 539.76 is: 809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.66 : 2,108.06 = 539.76 : x
  2. Step 2: Convert to fraction form
    1,405.66/2,108.06 = 539.76/x
  3. Step 3: Cross multiply
    1,405.66x = 2,108.06 × 539.76
  4. Step 4: Simplify right side
    1,405.66x = 1,137,846.47
  5. Step 5: Solve for x
    x = 1,137,846.47/1,405.66
  6. Step 6: Final answer
    x = 809.47

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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.