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Finding the Fourth Proportional to 477.10, 713.76 and 383.80

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Solution

The fourth proportional to 477.10, 713.76 and 383.80 is: 574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.10 : 713.76 = 383.80 : x
  2. Step 2: Convert to fraction form
    477.10/713.76 = 383.80/x
  3. Step 3: Cross multiply
    477.10x = 713.76 × 383.80
  4. Step 4: Simplify right side
    477.10x = 273,941.09
  5. Step 5: Solve for x
    x = 273,941.09/477.10
  6. Step 6: Final answer
    x = 574.18

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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.