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Finding the Fourth Proportional to 618.42, 851.97 and 508.53

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Solution

The fourth proportional to 618.42, 851.97 and 508.53 is: 700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.42 : 851.97 = 508.53 : x
  2. Step 2: Convert to fraction form
    618.42/851.97 = 508.53/x
  3. Step 3: Cross multiply
    618.42x = 851.97 × 508.53
  4. Step 4: Simplify right side
    618.42x = 433,249.76
  5. Step 5: Solve for x
    x = 433,249.76/618.42
  6. Step 6: Final answer
    x = 700.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.