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Finding the Fourth Proportional to 968.60, 1,451.28 and 644.06

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Solution

The fourth proportional to 968.60, 1,451.28 and 644.06 is: 965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.60 : 1,451.28 = 644.06 : x
  2. Step 2: Convert to fraction form
    968.60/1,451.28 = 644.06/x
  3. Step 3: Cross multiply
    968.60x = 1,451.28 × 644.06
  4. Step 4: Simplify right side
    968.60x = 934,711.40
  5. Step 5: Solve for x
    x = 934,711.40/968.60
  6. Step 6: Final answer
    x = 965.01

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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.