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Finding the Fourth Proportional to 774.91, 1,069.80 and 513.38

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Solution

The fourth proportional to 774.91, 1,069.80 and 513.38 is: 708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.91 : 1,069.80 = 513.38 : x
  2. Step 2: Convert to fraction form
    774.91/1,069.80 = 513.38/x
  3. Step 3: Cross multiply
    774.91x = 1,069.80 × 513.38
  4. Step 4: Simplify right side
    774.91x = 549,213.92
  5. Step 5: Solve for x
    x = 549,213.92/774.91
  6. Step 6: Final answer
    x = 708.75

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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.