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Finding the Fourth Proportional to 490.54, 732.30 and 473.46

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Solution

The fourth proportional to 490.54, 732.30 and 473.46 is: 706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.54 : 732.30 = 473.46 : x
  2. Step 2: Convert to fraction form
    490.54/732.30 = 473.46/x
  3. Step 3: Cross multiply
    490.54x = 732.30 × 473.46
  4. Step 4: Simplify right side
    490.54x = 346,714.76
  5. Step 5: Solve for x
    x = 346,714.76/490.54
  6. Step 6: Final answer
    x = 706.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.