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Finding the Fourth Proportional to 774.44, 1,068.73 and 463.94

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Solution

The fourth proportional to 774.44, 1,068.73 and 463.94 is: 640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.44 : 1,068.73 = 463.94 : x
  2. Step 2: Convert to fraction form
    774.44/1,068.73 = 463.94/x
  3. Step 3: Cross multiply
    774.44x = 1,068.73 × 463.94
  4. Step 4: Simplify right side
    774.44x = 495,826.60
  5. Step 5: Solve for x
    x = 495,826.60/774.44
  6. Step 6: Final answer
    x = 640.24

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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.