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Finding the Fourth Proportional to 623.12, 859.68 and 360.99

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Solution

The fourth proportional to 623.12, 859.68 and 360.99 is: 498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.12 : 859.68 = 360.99 : x
  2. Step 2: Convert to fraction form
    623.12/859.68 = 360.99/x
  3. Step 3: Cross multiply
    623.12x = 859.68 × 360.99
  4. Step 4: Simplify right side
    623.12x = 310,335.88
  5. Step 5: Solve for x
    x = 310,335.88/623.12
  6. Step 6: Final answer
    x = 498.04

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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.