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Finding the Fourth Proportional to 618.84, 854.15 and 398.01

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Solution

The fourth proportional to 618.84, 854.15 and 398.01 is: 549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.84 : 854.15 = 398.01 : x
  2. Step 2: Convert to fraction form
    618.84/854.15 = 398.01/x
  3. Step 3: Cross multiply
    618.84x = 854.15 × 398.01
  4. Step 4: Simplify right side
    618.84x = 339,961.45
  5. Step 5: Solve for x
    x = 339,961.45/618.84
  6. Step 6: Final answer
    x = 549.35

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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.