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Finding the Fourth Proportional to 774.38, 1,068.68 and 459.57

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Solution

The fourth proportional to 774.38, 1,068.68 and 459.57 is: 634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.38 : 1,068.68 = 459.57 : x
  2. Step 2: Convert to fraction form
    774.38/1,068.68 = 459.57/x
  3. Step 3: Cross multiply
    774.38x = 1,068.68 × 459.57
  4. Step 4: Simplify right side
    774.38x = 491,130.97
  5. Step 5: Solve for x
    x = 491,130.97/774.38
  6. Step 6: Final answer
    x = 634.23

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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.