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Finding the Fourth Proportional to 774.42, 1,161.93 and 466.50

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Solution

The fourth proportional to 774.42, 1,161.93 and 466.50 is: 699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.42 : 1,161.93 = 466.50 : x
  2. Step 2: Convert to fraction form
    774.42/1,161.93 = 466.50/x
  3. Step 3: Cross multiply
    774.42x = 1,161.93 × 466.50
  4. Step 4: Simplify right side
    774.42x = 542,040.35
  5. Step 5: Solve for x
    x = 542,040.35/774.42
  6. Step 6: Final answer
    x = 699.93

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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.