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Finding the Fourth Proportional to 2,280.57, 3,420.73 and 637.08

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Solution

The fourth proportional to 2,280.57, 3,420.73 and 637.08 is: 955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.57 : 3,420.73 = 637.08 : x
  2. Step 2: Convert to fraction form
    2,280.57/3,420.73 = 637.08/x
  3. Step 3: Cross multiply
    2,280.57x = 3,420.73 × 637.08
  4. Step 4: Simplify right side
    2,280.57x = 2,179,278.67
  5. Step 5: Solve for x
    x = 2,179,278.67/2,280.57
  6. Step 6: Final answer
    x = 955.59

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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.