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Finding the Fourth Proportional to 452.39, 623.89 and 305.22

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Solution

The fourth proportional to 452.39, 623.89 and 305.22 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.39 : 623.89 = 305.22 : x
  2. Step 2: Convert to fraction form
    452.39/623.89 = 305.22/x
  3. Step 3: Cross multiply
    452.39x = 623.89 × 305.22
  4. Step 4: Simplify right side
    452.39x = 190,423.71
  5. Step 5: Solve for x
    x = 190,423.71/452.39
  6. Step 6: Final answer
    x = 420.93

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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.