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Finding the Fourth Proportional to 1,398.07, 1,930.64 and 901.56

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Solution

The fourth proportional to 1,398.07, 1,930.64 and 901.56 is: 1,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.07 : 1,930.64 = 901.56 : x
  2. Step 2: Convert to fraction form
    1,398.07/1,930.64 = 901.56/x
  3. Step 3: Cross multiply
    1,398.07x = 1,930.64 × 901.56
  4. Step 4: Simplify right side
    1,398.07x = 1,740,590.53
  5. Step 5: Solve for x
    x = 1,740,590.53/1,398.07
  6. Step 6: Final answer
    x = 1,244.99

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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.