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Finding the Fourth Proportional to 485.31, 666.47 and 415.37

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Solution

The fourth proportional to 485.31, 666.47 and 415.37 is: 570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.31 : 666.47 = 415.37 : x
  2. Step 2: Convert to fraction form
    485.31/666.47 = 415.37/x
  3. Step 3: Cross multiply
    485.31x = 666.47 × 415.37
  4. Step 4: Simplify right side
    485.31x = 276,834.35
  5. Step 5: Solve for x
    x = 276,834.35/485.31
  6. Step 6: Final answer
    x = 570.43

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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.