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Finding the Fourth Proportional to 477.78, 661.83 and 468.06

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Solution

The fourth proportional to 477.78, 661.83 and 468.06 is: 648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.78 : 661.83 = 468.06 : x
  2. Step 2: Convert to fraction form
    477.78/661.83 = 468.06/x
  3. Step 3: Cross multiply
    477.78x = 661.83 × 468.06
  4. Step 4: Simplify right side
    477.78x = 309,773.81
  5. Step 5: Solve for x
    x = 309,773.81/477.78
  6. Step 6: Final answer
    x = 648.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.