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Finding the Fourth Proportional to 1,628.01, 2,244.42 and 1,030.20

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Solution

The fourth proportional to 1,628.01, 2,244.42 and 1,030.20 is: 1,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.01 : 2,244.42 = 1,030.20 : x
  2. Step 2: Convert to fraction form
    1,628.01/2,244.42 = 1,030.20/x
  3. Step 3: Cross multiply
    1,628.01x = 2,244.42 × 1,030.20
  4. Step 4: Simplify right side
    1,628.01x = 2,312,201.48
  5. Step 5: Solve for x
    x = 2,312,201.48/1,628.01
  6. Step 6: Final answer
    x = 1,420.26

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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.