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Finding the Fourth Proportional to 614.02, 925.19 and 508.18

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Solution

The fourth proportional to 614.02, 925.19 and 508.18 is: 765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.02 : 925.19 = 508.18 : x
  2. Step 2: Convert to fraction form
    614.02/925.19 = 508.18/x
  3. Step 3: Cross multiply
    614.02x = 925.19 × 508.18
  4. Step 4: Simplify right side
    614.02x = 470,163.05
  5. Step 5: Solve for x
    x = 470,163.05/614.02
  6. Step 6: Final answer
    x = 765.71

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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.