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Finding the Fourth Proportional to 1,393.07, 2,089.40 and 418.91

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Solution

The fourth proportional to 1,393.07, 2,089.40 and 418.91 is: 628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.07 : 2,089.40 = 418.91 : x
  2. Step 2: Convert to fraction form
    1,393.07/2,089.40 = 418.91/x
  3. Step 3: Cross multiply
    1,393.07x = 2,089.40 × 418.91
  4. Step 4: Simplify right side
    1,393.07x = 875,258.01
  5. Step 5: Solve for x
    x = 875,258.01/1,393.07
  6. Step 6: Final answer
    x = 628.30

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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.