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Finding the Fourth Proportional to 909.50, 1,362.08 and 523.94

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Solution

The fourth proportional to 909.50, 1,362.08 and 523.94 is: 784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.50 : 1,362.08 = 523.94 : x
  2. Step 2: Convert to fraction form
    909.50/1,362.08 = 523.94/x
  3. Step 3: Cross multiply
    909.50x = 1,362.08 × 523.94
  4. Step 4: Simplify right side
    909.50x = 713,648.20
  5. Step 5: Solve for x
    x = 713,648.20/909.50
  6. Step 6: Final answer
    x = 784.66

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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.