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Finding the Fourth Proportional to 623.15, 859.89 and 361.18

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Solution

The fourth proportional to 623.15, 859.89 and 361.18 is: 498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.15 : 859.89 = 361.18 : x
  2. Step 2: Convert to fraction form
    623.15/859.89 = 361.18/x
  3. Step 3: Cross multiply
    623.15x = 859.89 × 361.18
  4. Step 4: Simplify right side
    623.15x = 310,575.07
  5. Step 5: Solve for x
    x = 310,575.07/623.15
  6. Step 6: Final answer
    x = 498.40

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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.