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Finding the Fourth Proportional to 1,352.81, 2,026.98 and 804.30

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Solution

The fourth proportional to 1,352.81, 2,026.98 and 804.30 is: 1,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.81 : 2,026.98 = 804.30 : x
  2. Step 2: Convert to fraction form
    1,352.81/2,026.98 = 804.30/x
  3. Step 3: Cross multiply
    1,352.81x = 2,026.98 × 804.30
  4. Step 4: Simplify right side
    1,352.81x = 1,630,300.01
  5. Step 5: Solve for x
    x = 1,630,300.01/1,352.81
  6. Step 6: Final answer
    x = 1,205.13

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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.