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Finding the Fourth Proportional to 1,089.27, 1,503.95 and 836.78

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Solution

The fourth proportional to 1,089.27, 1,503.95 and 836.78 is: 1,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.27 : 1,503.95 = 836.78 : x
  2. Step 2: Convert to fraction form
    1,089.27/1,503.95 = 836.78/x
  3. Step 3: Cross multiply
    1,089.27x = 1,503.95 × 836.78
  4. Step 4: Simplify right side
    1,089.27x = 1,258,467.76
  5. Step 5: Solve for x
    x = 1,258,467.76/1,089.27
  6. Step 6: Final answer
    x = 1,155.33

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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.