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Finding the Fourth Proportional to 623.49, 859.73 and 402.14

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Solution

The fourth proportional to 623.49, 859.73 and 402.14 is: 554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.49 : 859.73 = 402.14 : x
  2. Step 2: Convert to fraction form
    623.49/859.73 = 402.14/x
  3. Step 3: Cross multiply
    623.49x = 859.73 × 402.14
  4. Step 4: Simplify right side
    623.49x = 345,725.51
  5. Step 5: Solve for x
    x = 345,725.51/623.49
  6. Step 6: Final answer
    x = 554.50

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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.