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Finding the Fourth Proportional to 680.95, 938.62 and 533.33

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Solution

The fourth proportional to 680.95, 938.62 and 533.33 is: 735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.95 : 938.62 = 533.33 : x
  2. Step 2: Convert to fraction form
    680.95/938.62 = 533.33/x
  3. Step 3: Cross multiply
    680.95x = 938.62 × 533.33
  4. Step 4: Simplify right side
    680.95x = 500,594.20
  5. Step 5: Solve for x
    x = 500,594.20/680.95
  6. Step 6: Final answer
    x = 735.14

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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.