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Finding the Fourth Proportional to 477.09, 715.87 and 233.48

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Solution

The fourth proportional to 477.09, 715.87 and 233.48 is: 350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.09 : 715.87 = 233.48 : x
  2. Step 2: Convert to fraction form
    477.09/715.87 = 233.48/x
  3. Step 3: Cross multiply
    477.09x = 715.87 × 233.48
  4. Step 4: Simplify right side
    477.09x = 167,142.53
  5. Step 5: Solve for x
    x = 167,142.53/477.09
  6. Step 6: Final answer
    x = 350.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.