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Finding the Fourth Proportional to 1,300.83, 1,797.05 and 1,125.87

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Solution

The fourth proportional to 1,300.83, 1,797.05 and 1,125.87 is: 1,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.83 : 1,797.05 = 1,125.87 : x
  2. Step 2: Convert to fraction form
    1,300.83/1,797.05 = 1,125.87/x
  3. Step 3: Cross multiply
    1,300.83x = 1,797.05 × 1,125.87
  4. Step 4: Simplify right side
    1,300.83x = 2,023,239.05
  5. Step 5: Solve for x
    x = 2,023,239.05/1,300.83
  6. Step 6: Final answer
    x = 1,555.34

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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.