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Finding the Fourth Proportional to 647.56, 971.13 and 257.43

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Solution

The fourth proportional to 647.56, 971.13 and 257.43 is: 386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.56 : 971.13 = 257.43 : x
  2. Step 2: Convert to fraction form
    647.56/971.13 = 257.43/x
  3. Step 3: Cross multiply
    647.56x = 971.13 × 257.43
  4. Step 4: Simplify right side
    647.56x = 249,995.33
  5. Step 5: Solve for x
    x = 249,995.33/647.56
  6. Step 6: Final answer
    x = 386.06

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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.