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Finding the Fourth Proportional to 683.90, 1,026.60 and 359.18

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Solution

The fourth proportional to 683.90, 1,026.60 and 359.18 is: 539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.90 : 1,026.60 = 359.18 : x
  2. Step 2: Convert to fraction form
    683.90/1,026.60 = 359.18/x
  3. Step 3: Cross multiply
    683.90x = 1,026.60 × 359.18
  4. Step 4: Simplify right side
    683.90x = 368,734.19
  5. Step 5: Solve for x
    x = 368,734.19/683.90
  6. Step 6: Final answer
    x = 539.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.