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Finding the Fourth Proportional to 485.97, 666.28 and 477.23

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Solution

The fourth proportional to 485.97, 666.28 and 477.23 is: 654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.97 : 666.28 = 477.23 : x
  2. Step 2: Convert to fraction form
    485.97/666.28 = 477.23/x
  3. Step 3: Cross multiply
    485.97x = 666.28 × 477.23
  4. Step 4: Simplify right side
    485.97x = 317,966.96
  5. Step 5: Solve for x
    x = 317,966.96/485.97
  6. Step 6: Final answer
    x = 654.29

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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.