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Finding the Fourth Proportional to 1,608.13, 2,218.23 and 978.22

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Solution

The fourth proportional to 1,608.13, 2,218.23 and 978.22 is: 1,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.13 : 2,218.23 = 978.22 : x
  2. Step 2: Convert to fraction form
    1,608.13/2,218.23 = 978.22/x
  3. Step 3: Cross multiply
    1,608.13x = 2,218.23 × 978.22
  4. Step 4: Simplify right side
    1,608.13x = 2,169,916.95
  5. Step 5: Solve for x
    x = 2,169,916.95/1,608.13
  6. Step 6: Final answer
    x = 1,349.34

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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.