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Finding the Fourth Proportional to 1,164.74, 1,747.70 and 774.99

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Solution

The fourth proportional to 1,164.74, 1,747.70 and 774.99 is: 1,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.74 : 1,747.70 = 774.99 : x
  2. Step 2: Convert to fraction form
    1,164.74/1,747.70 = 774.99/x
  3. Step 3: Cross multiply
    1,164.74x = 1,747.70 × 774.99
  4. Step 4: Simplify right side
    1,164.74x = 1,354,446.15
  5. Step 5: Solve for x
    x = 1,354,446.15/1,164.74
  6. Step 6: Final answer
    x = 1,162.88

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1.5x scale

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.