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Finding the Fourth Proportional to 607.78, 910.72 and 538.52

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Solution

The fourth proportional to 607.78, 910.72 and 538.52 is: 806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.78 : 910.72 = 538.52 : x
  2. Step 2: Convert to fraction form
    607.78/910.72 = 538.52/x
  3. Step 3: Cross multiply
    607.78x = 910.72 × 538.52
  4. Step 4: Simplify right side
    607.78x = 490,440.93
  5. Step 5: Solve for x
    x = 490,440.93/607.78
  6. Step 6: Final answer
    x = 806.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.