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Finding the Fourth Proportional to 1,889.90, 2,833.80 and 657.20

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Solution

The fourth proportional to 1,889.90, 2,833.80 and 657.20 is: 985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.90 : 2,833.80 = 657.20 : x
  2. Step 2: Convert to fraction form
    1,889.90/2,833.80 = 657.20/x
  3. Step 3: Cross multiply
    1,889.90x = 2,833.80 × 657.20
  4. Step 4: Simplify right side
    1,889.90x = 1,862,373.36
  5. Step 5: Solve for x
    x = 1,862,373.36/1,889.90
  6. Step 6: Final answer
    x = 985.43

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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.