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Finding the Fourth Proportional to 514.15, 774.65 and 465.44

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Solution

The fourth proportional to 514.15, 774.65 and 465.44 is: 701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.15 : 774.65 = 465.44 : x
  2. Step 2: Convert to fraction form
    514.15/774.65 = 465.44/x
  3. Step 3: Cross multiply
    514.15x = 774.65 × 465.44
  4. Step 4: Simplify right side
    514.15x = 360,550.39
  5. Step 5: Solve for x
    x = 360,550.39/514.15
  6. Step 6: Final answer
    x = 701.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.