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Finding the Fourth Proportional to 608.01, 909.81 and 520.25

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Solution

The fourth proportional to 608.01, 909.81 and 520.25 is: 778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.01 : 909.81 = 520.25 : x
  2. Step 2: Convert to fraction form
    608.01/909.81 = 520.25/x
  3. Step 3: Cross multiply
    608.01x = 909.81 × 520.25
  4. Step 4: Simplify right side
    608.01x = 473,324.10
  5. Step 5: Solve for x
    x = 473,324.10/608.01
  6. Step 6: Final answer
    x = 778.48

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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.