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Finding the Fourth Proportional to 1,756.87, 2,635.31 and 458.33

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Solution

The fourth proportional to 1,756.87, 2,635.31 and 458.33 is: 687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.87 : 2,635.31 = 458.33 : x
  2. Step 2: Convert to fraction form
    1,756.87/2,635.31 = 458.33/x
  3. Step 3: Cross multiply
    1,756.87x = 2,635.31 × 458.33
  4. Step 4: Simplify right side
    1,756.87x = 1,207,832.75
  5. Step 5: Solve for x
    x = 1,207,832.75/1,756.87
  6. Step 6: Final answer
    x = 687.49

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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.