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Finding the Fourth Proportional to 962.69, 1,319.84 and 945.17

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Solution

The fourth proportional to 962.69, 1,319.84 and 945.17 is: 1,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.69 : 1,319.84 = 945.17 : x
  2. Step 2: Convert to fraction form
    962.69/1,319.84 = 945.17/x
  3. Step 3: Cross multiply
    962.69x = 1,319.84 × 945.17
  4. Step 4: Simplify right side
    962.69x = 1,247,467.68
  5. Step 5: Solve for x
    x = 1,247,467.68/962.69
  6. Step 6: Final answer
    x = 1,295.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.