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Finding the Fourth Proportional to 645.69, 969.71 and 591.47

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Solution

The fourth proportional to 645.69, 969.71 and 591.47 is: 888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.69 : 969.71 = 591.47 : x
  2. Step 2: Convert to fraction form
    645.69/969.71 = 591.47/x
  3. Step 3: Cross multiply
    645.69x = 969.71 × 591.47
  4. Step 4: Simplify right side
    645.69x = 573,555.85
  5. Step 5: Solve for x
    x = 573,555.85/645.69
  6. Step 6: Final answer
    x = 888.28

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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.