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Finding the Fourth Proportional to 920.18, 1,268.50 and 723.35

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Solution

The fourth proportional to 920.18, 1,268.50 and 723.35 is: 997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.18 : 1,268.50 = 723.35 : x
  2. Step 2: Convert to fraction form
    920.18/1,268.50 = 723.35/x
  3. Step 3: Cross multiply
    920.18x = 1,268.50 × 723.35
  4. Step 4: Simplify right side
    920.18x = 917,567.09
  5. Step 5: Solve for x
    x = 917,567.09/920.18
  6. Step 6: Final answer
    x = 997.16

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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.