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Finding the Fourth Proportional to 1,708.04, 2,561.78 and 537.76

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Solution

The fourth proportional to 1,708.04, 2,561.78 and 537.76 is: 806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.04 : 2,561.78 = 537.76 : x
  2. Step 2: Convert to fraction form
    1,708.04/2,561.78 = 537.76/x
  3. Step 3: Cross multiply
    1,708.04x = 2,561.78 × 537.76
  4. Step 4: Simplify right side
    1,708.04x = 1,377,622.81
  5. Step 5: Solve for x
    x = 1,377,622.81/1,708.04
  6. Step 6: Final answer
    x = 806.55

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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.