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Finding the Fourth Proportional to 2,280.83, 3,420.90 and 637.54

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Solution

The fourth proportional to 2,280.83, 3,420.90 and 637.54 is: 956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.83 : 3,420.90 = 637.54 : x
  2. Step 2: Convert to fraction form
    2,280.83/3,420.90 = 637.54/x
  3. Step 3: Cross multiply
    2,280.83x = 3,420.90 × 637.54
  4. Step 4: Simplify right side
    2,280.83x = 2,180,952.03
  5. Step 5: Solve for x
    x = 2,180,952.03/2,280.83
  6. Step 6: Final answer
    x = 956.21

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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.