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Finding the Fourth Proportional to 783.11, 1,173.84 and 289.20

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Solution

The fourth proportional to 783.11, 1,173.84 and 289.20 is: 433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 1,173.84 = 289.20 : x
  2. Step 2: Convert to fraction form
    783.11/1,173.84 = 289.20/x
  3. Step 3: Cross multiply
    783.11x = 1,173.84 × 289.20
  4. Step 4: Simplify right side
    783.11x = 339,475.00
  5. Step 5: Solve for x
    x = 339,475.00/783.11
  6. Step 6: Final answer
    x = 433.50

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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.