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Finding the Fourth Proportional to 623.13, 859.78 and 360.99

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Solution

The fourth proportional to 623.13, 859.78 and 360.99 is: 498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.13 : 859.78 = 360.99 : x
  2. Step 2: Convert to fraction form
    623.13/859.78 = 360.99/x
  3. Step 3: Cross multiply
    623.13x = 859.78 × 360.99
  4. Step 4: Simplify right side
    623.13x = 310,371.98
  5. Step 5: Solve for x
    x = 310,371.98/623.13
  6. Step 6: Final answer
    x = 498.09

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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.