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Finding the Fourth Proportional to 842.57, 1,263.65 and 403.55

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Solution

The fourth proportional to 842.57, 1,263.65 and 403.55 is: 605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.57 : 1,263.65 = 403.55 : x
  2. Step 2: Convert to fraction form
    842.57/1,263.65 = 403.55/x
  3. Step 3: Cross multiply
    842.57x = 1,263.65 × 403.55
  4. Step 4: Simplify right side
    842.57x = 509,937.62
  5. Step 5: Solve for x
    x = 509,937.62/842.57
  6. Step 6: Final answer
    x = 605.22

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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.