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Finding the Fourth Proportional to 771.67, 1,158.65 and 617.14

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Solution

The fourth proportional to 771.67, 1,158.65 and 617.14 is: 926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.67 : 1,158.65 = 617.14 : x
  2. Step 2: Convert to fraction form
    771.67/1,158.65 = 617.14/x
  3. Step 3: Cross multiply
    771.67x = 1,158.65 × 617.14
  4. Step 4: Simplify right side
    771.67x = 715,047.91
  5. Step 5: Solve for x
    x = 715,047.91/771.67
  6. Step 6: Final answer
    x = 926.63

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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.