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Finding the Fourth Proportional to 1,652.72, 2,280.66 and 989.42

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Solution

The fourth proportional to 1,652.72, 2,280.66 and 989.42 is: 1,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.72 : 2,280.66 = 989.42 : x
  2. Step 2: Convert to fraction form
    1,652.72/2,280.66 = 989.42/x
  3. Step 3: Cross multiply
    1,652.72x = 2,280.66 × 989.42
  4. Step 4: Simplify right side
    1,652.72x = 2,256,530.62
  5. Step 5: Solve for x
    x = 2,256,530.62/1,652.72
  6. Step 6: Final answer
    x = 1,365.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.