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Finding the Fourth Proportional to 866.62, 1,300.20 and 428.02

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Solution

The fourth proportional to 866.62, 1,300.20 and 428.02 is: 642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.62 : 1,300.20 = 428.02 : x
  2. Step 2: Convert to fraction form
    866.62/1,300.20 = 428.02/x
  3. Step 3: Cross multiply
    866.62x = 1,300.20 × 428.02
  4. Step 4: Simplify right side
    866.62x = 556,511.60
  5. Step 5: Solve for x
    x = 556,511.60/866.62
  6. Step 6: Final answer
    x = 642.16

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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.