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Finding the Fourth Proportional to 618.16, 854.40 and 462.64

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Solution

The fourth proportional to 618.16, 854.40 and 462.64 is: 639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.16 : 854.40 = 462.64 : x
  2. Step 2: Convert to fraction form
    618.16/854.40 = 462.64/x
  3. Step 3: Cross multiply
    618.16x = 854.40 × 462.64
  4. Step 4: Simplify right side
    618.16x = 395,279.62
  5. Step 5: Solve for x
    x = 395,279.62/618.16
  6. Step 6: Final answer
    x = 639.45

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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.