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Finding the Fourth Proportional to 1,080.37, 1,490.43 and 638.11

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Solution

The fourth proportional to 1,080.37, 1,490.43 and 638.11 is: 880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.37 : 1,490.43 = 638.11 : x
  2. Step 2: Convert to fraction form
    1,080.37/1,490.43 = 638.11/x
  3. Step 3: Cross multiply
    1,080.37x = 1,490.43 × 638.11
  4. Step 4: Simplify right side
    1,080.37x = 951,058.29
  5. Step 5: Solve for x
    x = 951,058.29/1,080.37
  6. Step 6: Final answer
    x = 880.31

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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.