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Finding the Fourth Proportional to 680.08, 937 and 480.84

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Solution

The fourth proportional to 680.08, 937 and 480.84 is: 662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.08 : 937 = 480.84 : x
  2. Step 2: Convert to fraction form
    680.08/937 = 480.84/x
  3. Step 3: Cross multiply
    680.08x = 937 × 480.84
  4. Step 4: Simplify right side
    680.08x = 450,547.08
  5. Step 5: Solve for x
    x = 450,547.08/680.08
  6. Step 6: Final answer
    x = 662.49

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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.