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Finding the Fourth Proportional to 1,311.86, 1,966.93 and 608.77

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Solution

The fourth proportional to 1,311.86, 1,966.93 and 608.77 is: 912.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.86 : 1,966.93 = 608.77 : x
  2. Step 2: Convert to fraction form
    1,311.86/1,966.93 = 608.77/x
  3. Step 3: Cross multiply
    1,311.86x = 1,966.93 × 608.77
  4. Step 4: Simplify right side
    1,311.86x = 1,197,407.98
  5. Step 5: Solve for x
    x = 1,197,407.98/1,311.86
  6. Step 6: Final answer
    x = 912.76

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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.