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Finding the Fourth Proportional to 869.83, 1,295.54 and 865.64

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Solution

The fourth proportional to 869.83, 1,295.54 and 865.64 is: 1,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.83 : 1,295.54 = 865.64 : x
  2. Step 2: Convert to fraction form
    869.83/1,295.54 = 865.64/x
  3. Step 3: Cross multiply
    869.83x = 1,295.54 × 865.64
  4. Step 4: Simplify right side
    869.83x = 1,121,471.25
  5. Step 5: Solve for x
    x = 1,121,471.25/869.83
  6. Step 6: Final answer
    x = 1,289.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.