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Finding the Fourth Proportional to 774.52, 1,068.48 and 505.20

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Solution

The fourth proportional to 774.52, 1,068.48 and 505.20 is: 696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.52 : 1,068.48 = 505.20 : x
  2. Step 2: Convert to fraction form
    774.52/1,068.48 = 505.20/x
  3. Step 3: Cross multiply
    774.52x = 1,068.48 × 505.20
  4. Step 4: Simplify right side
    774.52x = 539,796.10
  5. Step 5: Solve for x
    x = 539,796.10/774.52
  6. Step 6: Final answer
    x = 696.94

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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.