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Finding the Fourth Proportional to 623.46, 858.96 and 448.50

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Solution

The fourth proportional to 623.46, 858.96 and 448.50 is: 617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.46 : 858.96 = 448.50 : x
  2. Step 2: Convert to fraction form
    623.46/858.96 = 448.50/x
  3. Step 3: Cross multiply
    623.46x = 858.96 × 448.50
  4. Step 4: Simplify right side
    623.46x = 385,243.56
  5. Step 5: Solve for x
    x = 385,243.56/623.46
  6. Step 6: Final answer
    x = 617.91

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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.