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Finding the Fourth Proportional to 842.25, 1,264.55 and 431.67

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Solution

The fourth proportional to 842.25, 1,264.55 and 431.67 is: 648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.25 : 1,264.55 = 431.67 : x
  2. Step 2: Convert to fraction form
    842.25/1,264.55 = 431.67/x
  3. Step 3: Cross multiply
    842.25x = 1,264.55 × 431.67
  4. Step 4: Simplify right side
    842.25x = 545,868.30
  5. Step 5: Solve for x
    x = 545,868.30/842.25
  6. Step 6: Final answer
    x = 648.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.