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Finding the Fourth Proportional to 485.31, 665.12 and 476.20

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Solution

The fourth proportional to 485.31, 665.12 and 476.20 is: 652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.31 : 665.12 = 476.20 : x
  2. Step 2: Convert to fraction form
    485.31/665.12 = 476.20/x
  3. Step 3: Cross multiply
    485.31x = 665.12 × 476.20
  4. Step 4: Simplify right side
    485.31x = 316,730.14
  5. Step 5: Solve for x
    x = 316,730.14/485.31
  6. Step 6: Final answer
    x = 652.63

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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.