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Finding the Fourth Proportional to 647.74, 970.85 and 236.61

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Solution

The fourth proportional to 647.74, 970.85 and 236.61 is: 354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.74 : 970.85 = 236.61 : x
  2. Step 2: Convert to fraction form
    647.74/970.85 = 236.61/x
  3. Step 3: Cross multiply
    647.74x = 970.85 × 236.61
  4. Step 4: Simplify right side
    647.74x = 229,711.64
  5. Step 5: Solve for x
    x = 229,711.64/647.74
  6. Step 6: Final answer
    x = 354.64

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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.