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Finding the Fourth Proportional to 647.83, 971.96 and 258.02

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Solution

The fourth proportional to 647.83, 971.96 and 258.02 is: 387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.83 : 971.96 = 258.02 : x
  2. Step 2: Convert to fraction form
    647.83/971.96 = 258.02/x
  3. Step 3: Cross multiply
    647.83x = 971.96 × 258.02
  4. Step 4: Simplify right side
    647.83x = 250,778.97
  5. Step 5: Solve for x
    x = 250,778.97/647.83
  6. Step 6: Final answer
    x = 387.11

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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.