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Finding the Fourth Proportional to 485.56, 666.81 and 415.62

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Solution

The fourth proportional to 485.56, 666.81 and 415.62 is: 570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.56 : 666.81 = 415.62 : x
  2. Step 2: Convert to fraction form
    485.56/666.81 = 415.62/x
  3. Step 3: Cross multiply
    485.56x = 666.81 × 415.62
  4. Step 4: Simplify right side
    485.56x = 277,139.57
  5. Step 5: Solve for x
    x = 277,139.57/485.56
  6. Step 6: Final answer
    x = 570.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.