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Finding the Fourth Proportional to 773.03, 1,158.18 and 643.85

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Solution

The fourth proportional to 773.03, 1,158.18 and 643.85 is: 964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.03 : 1,158.18 = 643.85 : x
  2. Step 2: Convert to fraction form
    773.03/1,158.18 = 643.85/x
  3. Step 3: Cross multiply
    773.03x = 1,158.18 × 643.85
  4. Step 4: Simplify right side
    773.03x = 745,688.40
  5. Step 5: Solve for x
    x = 745,688.40/773.03
  6. Step 6: Final answer
    x = 964.64

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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.