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Finding the Fourth Proportional to 1,190.14, 1,641.47 and 909.67

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Solution

The fourth proportional to 1,190.14, 1,641.47 and 909.67 is: 1,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.14 : 1,641.47 = 909.67 : x
  2. Step 2: Convert to fraction form
    1,190.14/1,641.47 = 909.67/x
  3. Step 3: Cross multiply
    1,190.14x = 1,641.47 × 909.67
  4. Step 4: Simplify right side
    1,190.14x = 1,493,196.01
  5. Step 5: Solve for x
    x = 1,493,196.01/1,190.14
  6. Step 6: Final answer
    x = 1,254.64

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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.