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Finding the Fourth Proportional to 452.42, 623.72 and 294.78

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Solution

The fourth proportional to 452.42, 623.72 and 294.78 is: 406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.42 : 623.72 = 294.78 : x
  2. Step 2: Convert to fraction form
    452.42/623.72 = 294.78/x
  3. Step 3: Cross multiply
    452.42x = 623.72 × 294.78
  4. Step 4: Simplify right side
    452.42x = 183,860.18
  5. Step 5: Solve for x
    x = 183,860.18/452.42
  6. Step 6: Final answer
    x = 406.39

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Double scale
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1.5x scale

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.