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Finding the Fourth Proportional to 682.62, 940.32 and 572.04

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Solution

The fourth proportional to 682.62, 940.32 and 572.04 is: 787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.62 : 940.32 = 572.04 : x
  2. Step 2: Convert to fraction form
    682.62/940.32 = 572.04/x
  3. Step 3: Cross multiply
    682.62x = 940.32 × 572.04
  4. Step 4: Simplify right side
    682.62x = 537,900.65
  5. Step 5: Solve for x
    x = 537,900.65/682.62
  6. Step 6: Final answer
    x = 787.99

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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.