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Finding the Fourth Proportional to 1,138.35, 1,569.27 and 980.30

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Solution

The fourth proportional to 1,138.35, 1,569.27 and 980.30 is: 1,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.35 : 1,569.27 = 980.30 : x
  2. Step 2: Convert to fraction form
    1,138.35/1,569.27 = 980.30/x
  3. Step 3: Cross multiply
    1,138.35x = 1,569.27 × 980.30
  4. Step 4: Simplify right side
    1,138.35x = 1,538,362.98
  5. Step 5: Solve for x
    x = 1,538,362.98/1,138.35
  6. Step 6: Final answer
    x = 1,351.39

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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.