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Finding the Fourth Proportional to 1,189.36, 1,639.74 and 975.89

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Solution

The fourth proportional to 1,189.36, 1,639.74 and 975.89 is: 1,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.36 : 1,639.74 = 975.89 : x
  2. Step 2: Convert to fraction form
    1,189.36/1,639.74 = 975.89/x
  3. Step 3: Cross multiply
    1,189.36x = 1,639.74 × 975.89
  4. Step 4: Simplify right side
    1,189.36x = 1,600,206.96
  5. Step 5: Solve for x
    x = 1,600,206.96/1,189.36
  6. Step 6: Final answer
    x = 1,345.44

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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.