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Finding the Fourth Proportional to 601.52, 900.50 and 448.12

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Solution

The fourth proportional to 601.52, 900.50 and 448.12 is: 670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.52 : 900.50 = 448.12 : x
  2. Step 2: Convert to fraction form
    601.52/900.50 = 448.12/x
  3. Step 3: Cross multiply
    601.52x = 900.50 × 448.12
  4. Step 4: Simplify right side
    601.52x = 403,530.93
  5. Step 5: Solve for x
    x = 403,530.93/601.52
  6. Step 6: Final answer
    x = 670.86

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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.