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Finding the Fourth Proportional to 899.70, 1,347.39 and 610.26

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Solution

The fourth proportional to 899.70, 1,347.39 and 610.26 is: 913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.70 : 1,347.39 = 610.26 : x
  2. Step 2: Convert to fraction form
    899.70/1,347.39 = 610.26/x
  3. Step 3: Cross multiply
    899.70x = 1,347.39 × 610.26
  4. Step 4: Simplify right side
    899.70x = 822,258.22
  5. Step 5: Solve for x
    x = 822,258.22/899.70
  6. Step 6: Final answer
    x = 913.92

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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.