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Finding the Fourth Proportional to 522.50, 783.39 and 262.42

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Solution

The fourth proportional to 522.50, 783.39 and 262.42 is: 393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.50 : 783.39 = 262.42 : x
  2. Step 2: Convert to fraction form
    522.50/783.39 = 262.42/x
  3. Step 3: Cross multiply
    522.50x = 783.39 × 262.42
  4. Step 4: Simplify right side
    522.50x = 205,577.20
  5. Step 5: Solve for x
    x = 205,577.20/522.50
  6. Step 6: Final answer
    x = 393.45

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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.