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Finding the Fourth Proportional to 607.75, 910.95 and 260.98

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Solution

The fourth proportional to 607.75, 910.95 and 260.98 is: 391.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.75 : 910.95 = 260.98 : x
  2. Step 2: Convert to fraction form
    607.75/910.95 = 260.98/x
  3. Step 3: Cross multiply
    607.75x = 910.95 × 260.98
  4. Step 4: Simplify right side
    607.75x = 237,739.73
  5. Step 5: Solve for x
    x = 237,739.73/607.75
  6. Step 6: Final answer
    x = 391.18

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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.