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Finding the Fourth Proportional to 623.18, 859.71 and 361.05

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Solution

The fourth proportional to 623.18, 859.71 and 361.05 is: 498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.18 : 859.71 = 361.05 : x
  2. Step 2: Convert to fraction form
    623.18/859.71 = 361.05/x
  3. Step 3: Cross multiply
    623.18x = 859.71 × 361.05
  4. Step 4: Simplify right side
    623.18x = 310,396.43
  5. Step 5: Solve for x
    x = 310,396.43/623.18
  6. Step 6: Final answer
    x = 498.08

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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.