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Finding the Fourth Proportional to 485.24, 671.14 and 477.04

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Solution

The fourth proportional to 485.24, 671.14 and 477.04 is: 659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.24 : 671.14 = 477.04 : x
  2. Step 2: Convert to fraction form
    485.24/671.14 = 477.04/x
  3. Step 3: Cross multiply
    485.24x = 671.14 × 477.04
  4. Step 4: Simplify right side
    485.24x = 320,158.12
  5. Step 5: Solve for x
    x = 320,158.12/485.24
  6. Step 6: Final answer
    x = 659.79

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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.