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Finding the Fourth Proportional to 472.23, 704.87 and 410.70

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Solution

The fourth proportional to 472.23, 704.87 and 410.70 is: 613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.23 : 704.87 = 410.70 : x
  2. Step 2: Convert to fraction form
    472.23/704.87 = 410.70/x
  3. Step 3: Cross multiply
    472.23x = 704.87 × 410.70
  4. Step 4: Simplify right side
    472.23x = 289,492.24
  5. Step 5: Solve for x
    x = 289,492.24/472.23
  6. Step 6: Final answer
    x = 613.03

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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.