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Finding the Fourth Proportional to 1,300.44, 1,794.96 and 803.10

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Solution

The fourth proportional to 1,300.44, 1,794.96 and 803.10 is: 1,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.44 : 1,794.96 = 803.10 : x
  2. Step 2: Convert to fraction form
    1,300.44/1,794.96 = 803.10/x
  3. Step 3: Cross multiply
    1,300.44x = 1,794.96 × 803.10
  4. Step 4: Simplify right side
    1,300.44x = 1,441,532.38
  5. Step 5: Solve for x
    x = 1,441,532.38/1,300.44
  6. Step 6: Final answer
    x = 1,108.50

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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.