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Finding the Fourth Proportional to 774.41, 1,068.42 and 459.77

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Solution

The fourth proportional to 774.41, 1,068.42 and 459.77 is: 634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.41 : 1,068.42 = 459.77 : x
  2. Step 2: Convert to fraction form
    774.41/1,068.42 = 459.77/x
  3. Step 3: Cross multiply
    774.41x = 1,068.42 × 459.77
  4. Step 4: Simplify right side
    774.41x = 491,222.97
  5. Step 5: Solve for x
    x = 491,222.97/774.41
  6. Step 6: Final answer
    x = 634.32

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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.