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Finding the Fourth Proportional to 1,271.18, 1,906.76 and 346.74

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Solution

The fourth proportional to 1,271.18, 1,906.76 and 346.74 is: 520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.18 : 1,906.76 = 346.74 : x
  2. Step 2: Convert to fraction form
    1,271.18/1,906.76 = 346.74/x
  3. Step 3: Cross multiply
    1,271.18x = 1,906.76 × 346.74
  4. Step 4: Simplify right side
    1,271.18x = 661,149.96
  5. Step 5: Solve for x
    x = 661,149.96/1,271.18
  6. Step 6: Final answer
    x = 520.11

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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.