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Finding the Fourth Proportional to 1,040.13, 1,434.78 and 620.35

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Solution

The fourth proportional to 1,040.13, 1,434.78 and 620.35 is: 855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.13 : 1,434.78 = 620.35 : x
  2. Step 2: Convert to fraction form
    1,040.13/1,434.78 = 620.35/x
  3. Step 3: Cross multiply
    1,040.13x = 1,434.78 × 620.35
  4. Step 4: Simplify right side
    1,040.13x = 890,065.77
  5. Step 5: Solve for x
    x = 890,065.77/1,040.13
  6. Step 6: Final answer
    x = 855.73

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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.