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Finding the Fourth Proportional to 682.79, 940.01 and 572.09

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Solution

The fourth proportional to 682.79, 940.01 and 572.09 is: 787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.79 : 940.01 = 572.09 : x
  2. Step 2: Convert to fraction form
    682.79/940.01 = 572.09/x
  3. Step 3: Cross multiply
    682.79x = 940.01 × 572.09
  4. Step 4: Simplify right side
    682.79x = 537,762.76
  5. Step 5: Solve for x
    x = 537,762.76/682.79
  6. Step 6: Final answer
    x = 787.60

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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.