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Finding the Fourth Proportional to 647.66, 971.94 and 237.14

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Solution

The fourth proportional to 647.66, 971.94 and 237.14 is: 355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.66 : 971.94 = 237.14 : x
  2. Step 2: Convert to fraction form
    647.66/971.94 = 237.14/x
  3. Step 3: Cross multiply
    647.66x = 971.94 × 237.14
  4. Step 4: Simplify right side
    647.66x = 230,480.99
  5. Step 5: Solve for x
    x = 230,480.99/647.66
  6. Step 6: Final answer
    x = 355.87

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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.