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Finding the Fourth Proportional to 647.28, 970.88 and 451.70

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Solution

The fourth proportional to 647.28, 970.88 and 451.70 is: 677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.28 : 970.88 = 451.70 : x
  2. Step 2: Convert to fraction form
    647.28/970.88 = 451.70/x
  3. Step 3: Cross multiply
    647.28x = 970.88 × 451.70
  4. Step 4: Simplify right side
    647.28x = 438,546.50
  5. Step 5: Solve for x
    x = 438,546.50/647.28
  6. Step 6: Final answer
    x = 677.52

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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.