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Finding the Fourth Proportional to 893.08, 1,339.41 and 430.57

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Solution

The fourth proportional to 893.08, 1,339.41 and 430.57 is: 645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.08 : 1,339.41 = 430.57 : x
  2. Step 2: Convert to fraction form
    893.08/1,339.41 = 430.57/x
  3. Step 3: Cross multiply
    893.08x = 1,339.41 × 430.57
  4. Step 4: Simplify right side
    893.08x = 576,709.76
  5. Step 5: Solve for x
    x = 576,709.76/893.08
  6. Step 6: Final answer
    x = 645.75

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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.