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Finding the Fourth Proportional to 953.91, 1,316.48 and 605.43

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Solution

The fourth proportional to 953.91, 1,316.48 and 605.43 is: 835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.91 : 1,316.48 = 605.43 : x
  2. Step 2: Convert to fraction form
    953.91/1,316.48 = 605.43/x
  3. Step 3: Cross multiply
    953.91x = 1,316.48 × 605.43
  4. Step 4: Simplify right side
    953.91x = 797,033.46
  5. Step 5: Solve for x
    x = 797,033.46/953.91
  6. Step 6: Final answer
    x = 835.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.