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Finding the Fourth Proportional to 842.57, 1,264.38 and 355.62

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Solution

The fourth proportional to 842.57, 1,264.38 and 355.62 is: 533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.57 : 1,264.38 = 355.62 : x
  2. Step 2: Convert to fraction form
    842.57/1,264.38 = 355.62/x
  3. Step 3: Cross multiply
    842.57x = 1,264.38 × 355.62
  4. Step 4: Simplify right side
    842.57x = 449,638.82
  5. Step 5: Solve for x
    x = 449,638.82/842.57
  6. Step 6: Final answer
    x = 533.65

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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.