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Finding the Fourth Proportional to 647.46, 970.16 and 451.62

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Solution

The fourth proportional to 647.46, 970.16 and 451.62 is: 676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.46 : 970.16 = 451.62 : x
  2. Step 2: Convert to fraction form
    647.46/970.16 = 451.62/x
  3. Step 3: Cross multiply
    647.46x = 970.16 × 451.62
  4. Step 4: Simplify right side
    647.46x = 438,141.40
  5. Step 5: Solve for x
    x = 438,141.40/647.46
  6. Step 6: Final answer
    x = 676.71

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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.