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Finding the Fourth Proportional to 1,353.83, 2,030.80 and 379.91

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Solution

The fourth proportional to 1,353.83, 2,030.80 and 379.91 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.83 : 2,030.80 = 379.91 : x
  2. Step 2: Convert to fraction form
    1,353.83/2,030.80 = 379.91/x
  3. Step 3: Cross multiply
    1,353.83x = 2,030.80 × 379.91
  4. Step 4: Simplify right side
    1,353.83x = 771,521.23
  5. Step 5: Solve for x
    x = 771,521.23/1,353.83
  6. Step 6: Final answer
    x = 569.88

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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.