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Finding the Fourth Proportional to 893.32, 1,339.20 and 719.68

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Solution

The fourth proportional to 893.32, 1,339.20 and 719.68 is: 1,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.32 : 1,339.20 = 719.68 : x
  2. Step 2: Convert to fraction form
    893.32/1,339.20 = 719.68/x
  3. Step 3: Cross multiply
    893.32x = 1,339.20 × 719.68
  4. Step 4: Simplify right side
    893.32x = 963,795.46
  5. Step 5: Solve for x
    x = 963,795.46/893.32
  6. Step 6: Final answer
    x = 1,078.89

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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.