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Finding the Fourth Proportional to 623.09, 859.66 and 402.19

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Solution

The fourth proportional to 623.09, 859.66 and 402.19 is: 554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.09 : 859.66 = 402.19 : x
  2. Step 2: Convert to fraction form
    623.09/859.66 = 402.19/x
  3. Step 3: Cross multiply
    623.09x = 859.66 × 402.19
  4. Step 4: Simplify right side
    623.09x = 345,747.16
  5. Step 5: Solve for x
    x = 345,747.16/623.09
  6. Step 6: Final answer
    x = 554.89

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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.