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Finding the Fourth Proportional to 650.78, 975.59 and 239.82

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Solution

The fourth proportional to 650.78, 975.59 and 239.82 is: 359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.78 : 975.59 = 239.82 : x
  2. Step 2: Convert to fraction form
    650.78/975.59 = 239.82/x
  3. Step 3: Cross multiply
    650.78x = 975.59 × 239.82
  4. Step 4: Simplify right side
    650.78x = 233,966.59
  5. Step 5: Solve for x
    x = 233,966.59/650.78
  6. Step 6: Final answer
    x = 359.52

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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.