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Finding the Fourth Proportional to 1,184.50, 1,634.46 and 686.76

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Solution

The fourth proportional to 1,184.50, 1,634.46 and 686.76 is: 947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.50 : 1,634.46 = 686.76 : x
  2. Step 2: Convert to fraction form
    1,184.50/1,634.46 = 686.76/x
  3. Step 3: Cross multiply
    1,184.50x = 1,634.46 × 686.76
  4. Step 4: Simplify right side
    1,184.50x = 1,122,481.75
  5. Step 5: Solve for x
    x = 1,122,481.75/1,184.50
  6. Step 6: Final answer
    x = 947.64

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1.5x scale

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.