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Finding the Fourth Proportional to 1,303.03, 1,798.20 and 778.96

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Solution

The fourth proportional to 1,303.03, 1,798.20 and 778.96 is: 1,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.03 : 1,798.20 = 778.96 : x
  2. Step 2: Convert to fraction form
    1,303.03/1,798.20 = 778.96/x
  3. Step 3: Cross multiply
    1,303.03x = 1,798.20 × 778.96
  4. Step 4: Simplify right side
    1,303.03x = 1,400,725.87
  5. Step 5: Solve for x
    x = 1,400,725.87/1,303.03
  6. Step 6: Final answer
    x = 1,074.98

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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.