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Finding the Fourth Proportional to 647.99, 971.29 and 257.83

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Solution

The fourth proportional to 647.99, 971.29 and 257.83 is: 386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.99 : 971.29 = 257.83 : x
  2. Step 2: Convert to fraction form
    647.99/971.29 = 257.83/x
  3. Step 3: Cross multiply
    647.99x = 971.29 × 257.83
  4. Step 4: Simplify right side
    647.99x = 250,425.59
  5. Step 5: Solve for x
    x = 250,425.59/647.99
  6. Step 6: Final answer
    x = 386.47

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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.