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Finding the Fourth Proportional to 1,399.26, 1,931.02 and 778.26

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Solution

The fourth proportional to 1,399.26, 1,931.02 and 778.26 is: 1,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.26 : 1,931.02 = 778.26 : x
  2. Step 2: Convert to fraction form
    1,399.26/1,931.02 = 778.26/x
  3. Step 3: Cross multiply
    1,399.26x = 1,931.02 × 778.26
  4. Step 4: Simplify right side
    1,399.26x = 1,502,835.63
  5. Step 5: Solve for x
    x = 1,502,835.63/1,399.26
  6. Step 6: Final answer
    x = 1,074.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.