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Finding the Fourth Proportional to 774.57, 1,159.43 and 514.02

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Solution

The fourth proportional to 774.57, 1,159.43 and 514.02 is: 769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.57 : 1,159.43 = 514.02 : x
  2. Step 2: Convert to fraction form
    774.57/1,159.43 = 514.02/x
  3. Step 3: Cross multiply
    774.57x = 1,159.43 × 514.02
  4. Step 4: Simplify right side
    774.57x = 595,967.64
  5. Step 5: Solve for x
    x = 595,967.64/774.57
  6. Step 6: Final answer
    x = 769.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.