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Finding the Fourth Proportional to 1,305.40, 1,800.98 and 807.52

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Solution

The fourth proportional to 1,305.40, 1,800.98 and 807.52 is: 1,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.40 : 1,800.98 = 807.52 : x
  2. Step 2: Convert to fraction form
    1,305.40/1,800.98 = 807.52/x
  3. Step 3: Cross multiply
    1,305.40x = 1,800.98 × 807.52
  4. Step 4: Simplify right side
    1,305.40x = 1,454,327.37
  5. Step 5: Solve for x
    x = 1,454,327.37/1,305.40
  6. Step 6: Final answer
    x = 1,114.09

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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.