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Finding the Fourth Proportional to 647.93, 971.94 and 215.39

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Solution

The fourth proportional to 647.93, 971.94 and 215.39 is: 323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.93 : 971.94 = 215.39 : x
  2. Step 2: Convert to fraction form
    647.93/971.94 = 215.39/x
  3. Step 3: Cross multiply
    647.93x = 971.94 × 215.39
  4. Step 4: Simplify right side
    647.93x = 209,346.16
  5. Step 5: Solve for x
    x = 209,346.16/647.93
  6. Step 6: Final answer
    x = 323.10

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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.