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Finding the Fourth Proportional to 774.80, 1,162.36 and 445.40

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Solution

The fourth proportional to 774.80, 1,162.36 and 445.40 is: 668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.80 : 1,162.36 = 445.40 : x
  2. Step 2: Convert to fraction form
    774.80/1,162.36 = 445.40/x
  3. Step 3: Cross multiply
    774.80x = 1,162.36 × 445.40
  4. Step 4: Simplify right side
    774.80x = 517,715.14
  5. Step 5: Solve for x
    x = 517,715.14/774.80
  6. Step 6: Final answer
    x = 668.19

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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.