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Finding the Fourth Proportional to 2,285.60, 3,428.53 and 642.27

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Solution

The fourth proportional to 2,285.60, 3,428.53 and 642.27 is: 963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.60 : 3,428.53 = 642.27 : x
  2. Step 2: Convert to fraction form
    2,285.60/3,428.53 = 642.27/x
  3. Step 3: Cross multiply
    2,285.60x = 3,428.53 × 642.27
  4. Step 4: Simplify right side
    2,285.60x = 2,202,050.20
  5. Step 5: Solve for x
    x = 2,202,050.20/2,285.60
  6. Step 6: Final answer
    x = 963.45

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1.5x scale

Why These Related Problems?

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