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Finding the Fourth Proportional to 687.74, 1,027.69 and 522.30

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Solution

The fourth proportional to 687.74, 1,027.69 and 522.30 is: 780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.74 : 1,027.69 = 522.30 : x
  2. Step 2: Convert to fraction form
    687.74/1,027.69 = 522.30/x
  3. Step 3: Cross multiply
    687.74x = 1,027.69 × 522.30
  4. Step 4: Simplify right side
    687.74x = 536,759.25
  5. Step 5: Solve for x
    x = 536,759.25/687.74
  6. Step 6: Final answer
    x = 780.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.