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Finding the Fourth Proportional to 1,189.35, 1,640.52 and 909.63

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Solution

The fourth proportional to 1,189.35, 1,640.52 and 909.63 is: 1,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.35 : 1,640.52 = 909.63 : x
  2. Step 2: Convert to fraction form
    1,189.35/1,640.52 = 909.63/x
  3. Step 3: Cross multiply
    1,189.35x = 1,640.52 × 909.63
  4. Step 4: Simplify right side
    1,189.35x = 1,492,266.21
  5. Step 5: Solve for x
    x = 1,492,266.21/1,189.35
  6. Step 6: Final answer
    x = 1,254.69

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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.