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Finding the Fourth Proportional to 623.52, 860.08 and 402.12

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Solution

The fourth proportional to 623.52, 860.08 and 402.12 is: 554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.52 : 860.08 = 402.12 : x
  2. Step 2: Convert to fraction form
    623.52/860.08 = 402.12/x
  3. Step 3: Cross multiply
    623.52x = 860.08 × 402.12
  4. Step 4: Simplify right side
    623.52x = 345,855.37
  5. Step 5: Solve for x
    x = 345,855.37/623.52
  6. Step 6: Final answer
    x = 554.68

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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.