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Finding the Fourth Proportional to 610.50, 914.12 and 472.80

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Solution

The fourth proportional to 610.50, 914.12 and 472.80 is: 707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.50 : 914.12 = 472.80 : x
  2. Step 2: Convert to fraction form
    610.50/914.12 = 472.80/x
  3. Step 3: Cross multiply
    610.50x = 914.12 × 472.80
  4. Step 4: Simplify right side
    610.50x = 432,195.94
  5. Step 5: Solve for x
    x = 432,195.94/610.50
  6. Step 6: Final answer
    x = 707.94

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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.