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Finding the Fourth Proportional to 452.40, 623.47 and 341.70

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Solution

The fourth proportional to 452.40, 623.47 and 341.70 is: 470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.40 : 623.47 = 341.70 : x
  2. Step 2: Convert to fraction form
    452.40/623.47 = 341.70/x
  3. Step 3: Cross multiply
    452.40x = 623.47 × 341.70
  4. Step 4: Simplify right side
    452.40x = 213,039.70
  5. Step 5: Solve for x
    x = 213,039.70/452.40
  6. Step 6: Final answer
    x = 470.91

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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.