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Finding the Fourth Proportional to 477.75, 715.78 and 368.27

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Solution

The fourth proportional to 477.75, 715.78 and 368.27 is: 551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.75 : 715.78 = 368.27 : x
  2. Step 2: Convert to fraction form
    477.75/715.78 = 368.27/x
  3. Step 3: Cross multiply
    477.75x = 715.78 × 368.27
  4. Step 4: Simplify right side
    477.75x = 263,600.30
  5. Step 5: Solve for x
    x = 263,600.30/477.75
  6. Step 6: Final answer
    x = 551.75

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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.