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Finding the Fourth Proportional to 961.05, 1,324.86 and 783.69

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Solution

The fourth proportional to 961.05, 1,324.86 and 783.69 is: 1,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.05 : 1,324.86 = 783.69 : x
  2. Step 2: Convert to fraction form
    961.05/1,324.86 = 783.69/x
  3. Step 3: Cross multiply
    961.05x = 1,324.86 × 783.69
  4. Step 4: Simplify right side
    961.05x = 1,038,279.53
  5. Step 5: Solve for x
    x = 1,038,279.53/961.05
  6. Step 6: Final answer
    x = 1,080.36

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1.5x scale

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.