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Finding the Fourth Proportional to 680.61, 940.08 and 525.12

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Solution

The fourth proportional to 680.61, 940.08 and 525.12 is: 725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.61 : 940.08 = 525.12 : x
  2. Step 2: Convert to fraction form
    680.61/940.08 = 525.12/x
  3. Step 3: Cross multiply
    680.61x = 940.08 × 525.12
  4. Step 4: Simplify right side
    680.61x = 493,654.81
  5. Step 5: Solve for x
    x = 493,654.81/680.61
  6. Step 6: Final answer
    x = 725.31

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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.