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Finding the Fourth Proportional to 893.32, 1,327.73 and 869.08

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Solution

The fourth proportional to 893.32, 1,327.73 and 869.08 is: 1,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.32 : 1,327.73 = 869.08 : x
  2. Step 2: Convert to fraction form
    893.32/1,327.73 = 869.08/x
  3. Step 3: Cross multiply
    893.32x = 1,327.73 × 869.08
  4. Step 4: Simplify right side
    893.32x = 1,153,903.59
  5. Step 5: Solve for x
    x = 1,153,903.59/893.32
  6. Step 6: Final answer
    x = 1,291.70

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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.