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Finding the Fourth Proportional to 1,398.74, 1,930.34 and 925.81

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Solution

The fourth proportional to 1,398.74, 1,930.34 and 925.81 is: 1,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.74 : 1,930.34 = 925.81 : x
  2. Step 2: Convert to fraction form
    1,398.74/1,930.34 = 925.81/x
  3. Step 3: Cross multiply
    1,398.74x = 1,930.34 × 925.81
  4. Step 4: Simplify right side
    1,398.74x = 1,787,125.56
  5. Step 5: Solve for x
    x = 1,787,125.56/1,398.74
  6. Step 6: Final answer
    x = 1,277.67

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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.