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Finding the Fourth Proportional to 847.95, 1,271.96 and 403.11

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Solution

The fourth proportional to 847.95, 1,271.96 and 403.11 is: 604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.95 : 1,271.96 = 403.11 : x
  2. Step 2: Convert to fraction form
    847.95/1,271.96 = 403.11/x
  3. Step 3: Cross multiply
    847.95x = 1,271.96 × 403.11
  4. Step 4: Simplify right side
    847.95x = 512,737.78
  5. Step 5: Solve for x
    x = 512,737.78/847.95
  6. Step 6: Final answer
    x = 604.68

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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.