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Finding the Fourth Proportional to 962.13, 1,329.33 and 856.28

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Solution

The fourth proportional to 962.13, 1,329.33 and 856.28 is: 1,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.13 : 1,329.33 = 856.28 : x
  2. Step 2: Convert to fraction form
    962.13/1,329.33 = 856.28/x
  3. Step 3: Cross multiply
    962.13x = 1,329.33 × 856.28
  4. Step 4: Simplify right side
    962.13x = 1,138,272.05
  5. Step 5: Solve for x
    x = 1,138,272.05/962.13
  6. Step 6: Final answer
    x = 1,183.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.