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Finding the Fourth Proportional to 485.74, 670.92 and 352.75

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Solution

The fourth proportional to 485.74, 670.92 and 352.75 is: 487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.74 : 670.92 = 352.75 : x
  2. Step 2: Convert to fraction form
    485.74/670.92 = 352.75/x
  3. Step 3: Cross multiply
    485.74x = 670.92 × 352.75
  4. Step 4: Simplify right side
    485.74x = 236,661.91
  5. Step 5: Solve for x
    x = 236,661.91/485.74
  6. Step 6: Final answer
    x = 487.22

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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.