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Finding the Fourth Proportional to 485.77, 670.67 and 338.35

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Solution

The fourth proportional to 485.77, 670.67 and 338.35 is: 467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.77 : 670.67 = 338.35 : x
  2. Step 2: Convert to fraction form
    485.77/670.67 = 338.35/x
  3. Step 3: Cross multiply
    485.77x = 670.67 × 338.35
  4. Step 4: Simplify right side
    485.77x = 226,921.19
  5. Step 5: Solve for x
    x = 226,921.19/485.77
  6. Step 6: Final answer
    x = 467.14

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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.