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Finding the Fourth Proportional to 611.50, 844.50 and 455.98

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Solution

The fourth proportional to 611.50, 844.50 and 455.98 is: 629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.50 : 844.50 = 455.98 : x
  2. Step 2: Convert to fraction form
    611.50/844.50 = 455.98/x
  3. Step 3: Cross multiply
    611.50x = 844.50 × 455.98
  4. Step 4: Simplify right side
    611.50x = 385,075.11
  5. Step 5: Solve for x
    x = 385,075.11/611.50
  6. Step 6: Final answer
    x = 629.72

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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.