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Finding the Fourth Proportional to 473.46, 710.19 and 257.00

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Solution

The fourth proportional to 473.46, 710.19 and 257.00 is: 385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.46 : 710.19 = 257.00 : x
  2. Step 2: Convert to fraction form
    473.46/710.19 = 257.00/x
  3. Step 3: Cross multiply
    473.46x = 710.19 × 257.00
  4. Step 4: Simplify right side
    473.46x = 182,515.28
  5. Step 5: Solve for x
    x = 182,515.28/473.46
  6. Step 6: Final answer
    x = 385.49

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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.