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Finding the Fourth Proportional to 774.63, 1,161.40 and 384.16

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Solution

The fourth proportional to 774.63, 1,161.40 and 384.16 is: 575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.63 : 1,161.40 = 384.16 : x
  2. Step 2: Convert to fraction form
    774.63/1,161.40 = 384.16/x
  3. Step 3: Cross multiply
    774.63x = 1,161.40 × 384.16
  4. Step 4: Simplify right side
    774.63x = 446,157.62
  5. Step 5: Solve for x
    x = 446,157.62/774.63
  6. Step 6: Final answer
    x = 575.96

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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.