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Finding the Fourth Proportional to 522.15, 720.53 and 286.10

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Solution

The fourth proportional to 522.15, 720.53 and 286.10 is: 394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.15 : 720.53 = 286.10 : x
  2. Step 2: Convert to fraction form
    522.15/720.53 = 286.10/x
  3. Step 3: Cross multiply
    522.15x = 720.53 × 286.10
  4. Step 4: Simplify right side
    522.15x = 206,138.60
  5. Step 5: Solve for x
    x = 206,138.60/522.15
  6. Step 6: Final answer
    x = 394.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.