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Finding the Fourth Proportional to 771.02, 1,154.10 and 609.02

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Solution

The fourth proportional to 771.02, 1,154.10 and 609.02 is: 911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.02 : 1,154.10 = 609.02 : x
  2. Step 2: Convert to fraction form
    771.02/1,154.10 = 609.02/x
  3. Step 3: Cross multiply
    771.02x = 1,154.10 × 609.02
  4. Step 4: Simplify right side
    771.02x = 702,869.98
  5. Step 5: Solve for x
    x = 702,869.98/771.02
  6. Step 6: Final answer
    x = 911.61

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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.