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Finding the Fourth Proportional to 618.72, 852.43 and 508.02

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Solution

The fourth proportional to 618.72, 852.43 and 508.02 is: 699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.72 : 852.43 = 508.02 : x
  2. Step 2: Convert to fraction form
    618.72/852.43 = 508.02/x
  3. Step 3: Cross multiply
    618.72x = 852.43 × 508.02
  4. Step 4: Simplify right side
    618.72x = 433,051.49
  5. Step 5: Solve for x
    x = 433,051.49/618.72
  6. Step 6: Final answer
    x = 699.92

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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.