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Finding the Fourth Proportional to 774.69, 1,068.64 and 476.07

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Solution

The fourth proportional to 774.69, 1,068.64 and 476.07 is: 656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.69 : 1,068.64 = 476.07 : x
  2. Step 2: Convert to fraction form
    774.69/1,068.64 = 476.07/x
  3. Step 3: Cross multiply
    774.69x = 1,068.64 × 476.07
  4. Step 4: Simplify right side
    774.69x = 508,747.44
  5. Step 5: Solve for x
    x = 508,747.44/774.69
  6. Step 6: Final answer
    x = 656.71

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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.