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Finding the Fourth Proportional to 893.21, 1,339.54 and 430.70

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Solution

The fourth proportional to 893.21, 1,339.54 and 430.70 is: 645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.21 : 1,339.54 = 430.70 : x
  2. Step 2: Convert to fraction form
    893.21/1,339.54 = 430.70/x
  3. Step 3: Cross multiply
    893.21x = 1,339.54 × 430.70
  4. Step 4: Simplify right side
    893.21x = 576,932.10
  5. Step 5: Solve for x
    x = 576,932.10/893.21
  6. Step 6: Final answer
    x = 645.91

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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.