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Finding the Fourth Proportional to 480.31, 662.72 and 473.02

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Solution

The fourth proportional to 480.31, 662.72 and 473.02 is: 652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.31 : 662.72 = 473.02 : x
  2. Step 2: Convert to fraction form
    480.31/662.72 = 473.02/x
  3. Step 3: Cross multiply
    480.31x = 662.72 × 473.02
  4. Step 4: Simplify right side
    480.31x = 313,475.79
  5. Step 5: Solve for x
    x = 313,475.79/480.31
  6. Step 6: Final answer
    x = 652.66

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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.