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Finding the Fourth Proportional to 885.59, 1,327.85 and 785.66

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Solution

The fourth proportional to 885.59, 1,327.85 and 785.66 is: 1,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.59 : 1,327.85 = 785.66 : x
  2. Step 2: Convert to fraction form
    885.59/1,327.85 = 785.66/x
  3. Step 3: Cross multiply
    885.59x = 1,327.85 × 785.66
  4. Step 4: Simplify right side
    885.59x = 1,043,228.06
  5. Step 5: Solve for x
    x = 1,043,228.06/885.59
  6. Step 6: Final answer
    x = 1,178.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.