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Finding the Fourth Proportional to 473.73, 710.80 and 257.46

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Solution

The fourth proportional to 473.73, 710.80 and 257.46 is: 386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.73 : 710.80 = 257.46 : x
  2. Step 2: Convert to fraction form
    473.73/710.80 = 257.46/x
  3. Step 3: Cross multiply
    473.73x = 710.80 × 257.46
  4. Step 4: Simplify right side
    473.73x = 183,002.57
  5. Step 5: Solve for x
    x = 183,002.57/473.73
  6. Step 6: Final answer
    x = 386.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.