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Finding the Fourth Proportional to 608, 916.22 and 507.56

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Solution

The fourth proportional to 608, 916.22 and 507.56 is: 764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    608 : 916.22 = 507.56 : x
  2. Step 2: Convert to fraction form
    608/916.22 = 507.56/x
  3. Step 3: Cross multiply
    608x = 916.22 × 507.56
  4. Step 4: Simplify right side
    608x = 465,036.62
  5. Step 5: Solve for x
    x = 465,036.62/608
  6. Step 6: Final answer
    x = 764.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.