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Finding the Fourth Proportional to 898.22, 1,237.56 and 741.35

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Solution

The fourth proportional to 898.22, 1,237.56 and 741.35 is: 1,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.22 : 1,237.56 = 741.35 : x
  2. Step 2: Convert to fraction form
    898.22/1,237.56 = 741.35/x
  3. Step 3: Cross multiply
    898.22x = 1,237.56 × 741.35
  4. Step 4: Simplify right side
    898.22x = 917,465.11
  5. Step 5: Solve for x
    x = 917,465.11/898.22
  6. Step 6: Final answer
    x = 1,021.43

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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.