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Finding the Fourth Proportional to 1,681.77, 2,522.70 and 708.54

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Solution

The fourth proportional to 1,681.77, 2,522.70 and 708.54 is: 1,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.77 : 2,522.70 = 708.54 : x
  2. Step 2: Convert to fraction form
    1,681.77/2,522.70 = 708.54/x
  3. Step 3: Cross multiply
    1,681.77x = 2,522.70 × 708.54
  4. Step 4: Simplify right side
    1,681.77x = 1,787,433.86
  5. Step 5: Solve for x
    x = 1,787,433.86/1,681.77
  6. Step 6: Final answer
    x = 1,062.83

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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.