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Finding the Fourth Proportional to 995.52, 1,491.66 and 605.64

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Solution

The fourth proportional to 995.52, 1,491.66 and 605.64 is: 907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.52 : 1,491.66 = 605.64 : x
  2. Step 2: Convert to fraction form
    995.52/1,491.66 = 605.64/x
  3. Step 3: Cross multiply
    995.52x = 1,491.66 × 605.64
  4. Step 4: Simplify right side
    995.52x = 903,408.96
  5. Step 5: Solve for x
    x = 903,408.96/995.52
  6. Step 6: Final answer
    x = 907.47

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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.