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Finding the Fourth Proportional to 1,312.22, 1,809.36 and 980.09

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Solution

The fourth proportional to 1,312.22, 1,809.36 and 980.09 is: 1,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.22 : 1,809.36 = 980.09 : x
  2. Step 2: Convert to fraction form
    1,312.22/1,809.36 = 980.09/x
  3. Step 3: Cross multiply
    1,312.22x = 1,809.36 × 980.09
  4. Step 4: Simplify right side
    1,312.22x = 1,773,331.31
  5. Step 5: Solve for x
    x = 1,773,331.31/1,312.22
  6. Step 6: Final answer
    x = 1,351.40

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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.