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Finding the Fourth Proportional to 1,020.94, 1,408.89 and 555.19

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Solution

The fourth proportional to 1,020.94, 1,408.89 and 555.19 is: 766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.94 : 1,408.89 = 555.19 : x
  2. Step 2: Convert to fraction form
    1,020.94/1,408.89 = 555.19/x
  3. Step 3: Cross multiply
    1,020.94x = 1,408.89 × 555.19
  4. Step 4: Simplify right side
    1,020.94x = 782,200.20
  5. Step 5: Solve for x
    x = 782,200.20/1,020.94
  6. Step 6: Final answer
    x = 766.16

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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.