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Finding the Fourth Proportional to 1,199.35, 1,655.87 and 978.83

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Solution

The fourth proportional to 1,199.35, 1,655.87 and 978.83 is: 1,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.35 : 1,655.87 = 978.83 : x
  2. Step 2: Convert to fraction form
    1,199.35/1,655.87 = 978.83/x
  3. Step 3: Cross multiply
    1,199.35x = 1,655.87 × 978.83
  4. Step 4: Simplify right side
    1,199.35x = 1,620,802.06
  5. Step 5: Solve for x
    x = 1,620,802.06/1,199.35
  6. Step 6: Final answer
    x = 1,351.40

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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.