Home / 1,184.24-1,634.13-686.90

Finding the Fourth Proportional to 1,184.24, 1,634.13 and 686.90

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Solution

The fourth proportional to 1,184.24, 1,634.13 and 686.90 is: 947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.24 : 1,634.13 = 686.90 : x
  2. Step 2: Convert to fraction form
    1,184.24/1,634.13 = 686.90/x
  3. Step 3: Cross multiply
    1,184.24x = 1,634.13 × 686.90
  4. Step 4: Simplify right side
    1,184.24x = 1,122,487.98
  5. Step 5: Solve for x
    x = 1,122,487.98/1,184.24
  6. Step 6: Final answer
    x = 947.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.