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Finding the Fourth Proportional to 645.77, 969.10 and 451.24

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Solution

The fourth proportional to 645.77, 969.10 and 451.24 is: 677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.77 : 969.10 = 451.24 : x
  2. Step 2: Convert to fraction form
    645.77/969.10 = 451.24/x
  3. Step 3: Cross multiply
    645.77x = 969.10 × 451.24
  4. Step 4: Simplify right side
    645.77x = 437,293.13
  5. Step 5: Solve for x
    x = 437,293.13/645.77
  6. Step 6: Final answer
    x = 677.16

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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.