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Finding the Fourth Proportional to 1,300.97, 1,951.42 and 607.23

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Solution

The fourth proportional to 1,300.97, 1,951.42 and 607.23 is: 910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.97 : 1,951.42 = 607.23 : x
  2. Step 2: Convert to fraction form
    1,300.97/1,951.42 = 607.23/x
  3. Step 3: Cross multiply
    1,300.97x = 1,951.42 × 607.23
  4. Step 4: Simplify right side
    1,300.97x = 1,184,958.68
  5. Step 5: Solve for x
    x = 1,184,958.68/1,300.97
  6. Step 6: Final answer
    x = 910.83

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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.