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Finding the Fourth Proportional to 893.07, 1,339.88 and 601.74

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Solution

The fourth proportional to 893.07, 1,339.88 and 601.74 is: 902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.07 : 1,339.88 = 601.74 : x
  2. Step 2: Convert to fraction form
    893.07/1,339.88 = 601.74/x
  3. Step 3: Cross multiply
    893.07x = 1,339.88 × 601.74
  4. Step 4: Simplify right side
    893.07x = 806,256.38
  5. Step 5: Solve for x
    x = 806,256.38/893.07
  6. Step 6: Final answer
    x = 902.79

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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.