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Finding the Fourth Proportional to 623.78, 860.82 and 362.02

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Solution

The fourth proportional to 623.78, 860.82 and 362.02 is: 499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.78 : 860.82 = 362.02 : x
  2. Step 2: Convert to fraction form
    623.78/860.82 = 362.02/x
  3. Step 3: Cross multiply
    623.78x = 860.82 × 362.02
  4. Step 4: Simplify right side
    623.78x = 311,631.00
  5. Step 5: Solve for x
    x = 311,631.00/623.78
  6. Step 6: Final answer
    x = 499.58

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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.