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Finding the Fourth Proportional to 1,266.84, 1,748.36 and 742.76

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Solution

The fourth proportional to 1,266.84, 1,748.36 and 742.76 is: 1,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.84 : 1,748.36 = 742.76 : x
  2. Step 2: Convert to fraction form
    1,266.84/1,748.36 = 742.76/x
  3. Step 3: Cross multiply
    1,266.84x = 1,748.36 × 742.76
  4. Step 4: Simplify right side
    1,266.84x = 1,298,611.87
  5. Step 5: Solve for x
    x = 1,298,611.87/1,266.84
  6. Step 6: Final answer
    x = 1,025.08

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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.