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Finding the Fourth Proportional to 472.86, 704.94 and 461.94

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Solution

The fourth proportional to 472.86, 704.94 and 461.94 is: 688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.86 : 704.94 = 461.94 : x
  2. Step 2: Convert to fraction form
    472.86/704.94 = 461.94/x
  3. Step 3: Cross multiply
    472.86x = 704.94 × 461.94
  4. Step 4: Simplify right side
    472.86x = 325,639.98
  5. Step 5: Solve for x
    x = 325,639.98/472.86
  6. Step 6: Final answer
    x = 688.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.