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Finding the Fourth Proportional to 647.44, 970.94 and 300.71

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Solution

The fourth proportional to 647.44, 970.94 and 300.71 is: 450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.44 : 970.94 = 300.71 : x
  2. Step 2: Convert to fraction form
    647.44/970.94 = 300.71/x
  3. Step 3: Cross multiply
    647.44x = 970.94 × 300.71
  4. Step 4: Simplify right side
    647.44x = 291,972.86
  5. Step 5: Solve for x
    x = 291,972.86/647.44
  6. Step 6: Final answer
    x = 450.96

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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.