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Finding the Fourth Proportional to 1,716.78, 2,575.14 and 562.50

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Solution

The fourth proportional to 1,716.78, 2,575.14 and 562.50 is: 843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.78 : 2,575.14 = 562.50 : x
  2. Step 2: Convert to fraction form
    1,716.78/2,575.14 = 562.50/x
  3. Step 3: Cross multiply
    1,716.78x = 2,575.14 × 562.50
  4. Step 4: Simplify right side
    1,716.78x = 1,448,516.25
  5. Step 5: Solve for x
    x = 1,448,516.25/1,716.78
  6. Step 6: Final answer
    x = 843.74

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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.