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Finding the Fourth Proportional to 618.31, 852.84 and 421.48

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Solution

The fourth proportional to 618.31, 852.84 and 421.48 is: 581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.31 : 852.84 = 421.48 : x
  2. Step 2: Convert to fraction form
    618.31/852.84 = 421.48/x
  3. Step 3: Cross multiply
    618.31x = 852.84 × 421.48
  4. Step 4: Simplify right side
    618.31x = 359,455.00
  5. Step 5: Solve for x
    x = 359,455.00/618.31
  6. Step 6: Final answer
    x = 581.35

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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.