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Finding the Fourth Proportional to 642.06, 884.52 and 525.42

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Solution

The fourth proportional to 642.06, 884.52 and 525.42 is: 723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.06 : 884.52 = 525.42 : x
  2. Step 2: Convert to fraction form
    642.06/884.52 = 525.42/x
  3. Step 3: Cross multiply
    642.06x = 884.52 × 525.42
  4. Step 4: Simplify right side
    642.06x = 464,744.50
  5. Step 5: Solve for x
    x = 464,744.50/642.06
  6. Step 6: Final answer
    x = 723.83

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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.