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Finding the Fourth Proportional to 749.79, 1,126.08 and 688.84

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Solution

The fourth proportional to 749.79, 1,126.08 and 688.84 is: 1,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.79 : 1,126.08 = 688.84 : x
  2. Step 2: Convert to fraction form
    749.79/1,126.08 = 688.84/x
  3. Step 3: Cross multiply
    749.79x = 1,126.08 × 688.84
  4. Step 4: Simplify right side
    749.79x = 775,688.95
  5. Step 5: Solve for x
    x = 775,688.95/749.79
  6. Step 6: Final answer
    x = 1,034.54

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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.