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Finding the Fourth Proportional to 645.59, 968.86 and 402.28

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Solution

The fourth proportional to 645.59, 968.86 and 402.28 is: 603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.59 : 968.86 = 402.28 : x
  2. Step 2: Convert to fraction form
    645.59/968.86 = 402.28/x
  3. Step 3: Cross multiply
    645.59x = 968.86 × 402.28
  4. Step 4: Simplify right side
    645.59x = 389,756.53
  5. Step 5: Solve for x
    x = 389,756.53/645.59
  6. Step 6: Final answer
    x = 603.72

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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.