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Finding the Fourth Proportional to 485.65, 669.99 and 344.08

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Solution

The fourth proportional to 485.65, 669.99 and 344.08 is: 474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.65 : 669.99 = 344.08 : x
  2. Step 2: Convert to fraction form
    485.65/669.99 = 344.08/x
  3. Step 3: Cross multiply
    485.65x = 669.99 × 344.08
  4. Step 4: Simplify right side
    485.65x = 230,530.16
  5. Step 5: Solve for x
    x = 230,530.16/485.65
  6. Step 6: Final answer
    x = 474.68

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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.