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Finding the Fourth Proportional to 1,716.31, 2,574.68 and 545.99

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Solution

The fourth proportional to 1,716.31, 2,574.68 and 545.99 is: 819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.31 : 2,574.68 = 545.99 : x
  2. Step 2: Convert to fraction form
    1,716.31/2,574.68 = 545.99/x
  3. Step 3: Cross multiply
    1,716.31x = 2,574.68 × 545.99
  4. Step 4: Simplify right side
    1,716.31x = 1,405,749.53
  5. Step 5: Solve for x
    x = 1,405,749.53/1,716.31
  6. Step 6: Final answer
    x = 819.05

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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.