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Finding the Fourth Proportional to 618.36, 851.88 and 508.47

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Solution

The fourth proportional to 618.36, 851.88 and 508.47 is: 700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.36 : 851.88 = 508.47 : x
  2. Step 2: Convert to fraction form
    618.36/851.88 = 508.47/x
  3. Step 3: Cross multiply
    618.36x = 851.88 × 508.47
  4. Step 4: Simplify right side
    618.36x = 433,155.42
  5. Step 5: Solve for x
    x = 433,155.42/618.36
  6. Step 6: Final answer
    x = 700.49

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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.