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Finding the Fourth Proportional to 601.14, 901.80 and 486.32

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Solution

The fourth proportional to 601.14, 901.80 and 486.32 is: 729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 901.80 = 486.32 : x
  2. Step 2: Convert to fraction form
    601.14/901.80 = 486.32/x
  3. Step 3: Cross multiply
    601.14x = 901.80 × 486.32
  4. Step 4: Simplify right side
    601.14x = 438,563.38
  5. Step 5: Solve for x
    x = 438,563.38/601.14
  6. Step 6: Final answer
    x = 729.55

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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.