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Finding the Fourth Proportional to 774.63, 1,156.75 and 677.43

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Solution

The fourth proportional to 774.63, 1,156.75 and 677.43 is: 1,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.63 : 1,156.75 = 677.43 : x
  2. Step 2: Convert to fraction form
    774.63/1,156.75 = 677.43/x
  3. Step 3: Cross multiply
    774.63x = 1,156.75 × 677.43
  4. Step 4: Simplify right side
    774.63x = 783,615.46
  5. Step 5: Solve for x
    x = 783,615.46/774.63
  6. Step 6: Final answer
    x = 1,011.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.