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Finding the Fourth Proportional to 610.50, 843.12 and 454.98

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Solution

The fourth proportional to 610.50, 843.12 and 454.98 is: 628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.50 : 843.12 = 454.98 : x
  2. Step 2: Convert to fraction form
    610.50/843.12 = 454.98/x
  3. Step 3: Cross multiply
    610.50x = 843.12 × 454.98
  4. Step 4: Simplify right side
    610.50x = 383,602.74
  5. Step 5: Solve for x
    x = 383,602.74/610.50
  6. Step 6: Final answer
    x = 628.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.