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Finding the Fourth Proportional to 601.31, 899.92 and 442.11

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Solution

The fourth proportional to 601.31, 899.92 and 442.11 is: 661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.31 : 899.92 = 442.11 : x
  2. Step 2: Convert to fraction form
    601.31/899.92 = 442.11/x
  3. Step 3: Cross multiply
    601.31x = 899.92 × 442.11
  4. Step 4: Simplify right side
    601.31x = 397,863.63
  5. Step 5: Solve for x
    x = 397,863.63/601.31
  6. Step 6: Final answer
    x = 661.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.