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Finding the Fourth Proportional to 452.92, 623.40 and 321.70

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Solution

The fourth proportional to 452.92, 623.40 and 321.70 is: 442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.92 : 623.40 = 321.70 : x
  2. Step 2: Convert to fraction form
    452.92/623.40 = 321.70/x
  3. Step 3: Cross multiply
    452.92x = 623.40 × 321.70
  4. Step 4: Simplify right side
    452.92x = 200,547.78
  5. Step 5: Solve for x
    x = 200,547.78/452.92
  6. Step 6: Final answer
    x = 442.79

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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.