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Finding the Fourth Proportional to 771.05, 1,153.81 and 478.31

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Solution

The fourth proportional to 771.05, 1,153.81 and 478.31 is: 715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.05 : 1,153.81 = 478.31 : x
  2. Step 2: Convert to fraction form
    771.05/1,153.81 = 478.31/x
  3. Step 3: Cross multiply
    771.05x = 1,153.81 × 478.31
  4. Step 4: Simplify right side
    771.05x = 551,873.69
  5. Step 5: Solve for x
    x = 551,873.69/771.05
  6. Step 6: Final answer
    x = 715.74

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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.