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Finding the Fourth Proportional to 685.30, 1,027.14 and 522.48

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Solution

The fourth proportional to 685.30, 1,027.14 and 522.48 is: 783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.30 : 1,027.14 = 522.48 : x
  2. Step 2: Convert to fraction form
    685.30/1,027.14 = 522.48/x
  3. Step 3: Cross multiply
    685.30x = 1,027.14 × 522.48
  4. Step 4: Simplify right side
    685.30x = 536,660.11
  5. Step 5: Solve for x
    x = 536,660.11/685.30
  6. Step 6: Final answer
    x = 783.10

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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.