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Finding the Fourth Proportional to 1,195.84, 1,650.72 and 920.64

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Solution

The fourth proportional to 1,195.84, 1,650.72 and 920.64 is: 1,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.84 : 1,650.72 = 920.64 : x
  2. Step 2: Convert to fraction form
    1,195.84/1,650.72 = 920.64/x
  3. Step 3: Cross multiply
    1,195.84x = 1,650.72 × 920.64
  4. Step 4: Simplify right side
    1,195.84x = 1,519,718.86
  5. Step 5: Solve for x
    x = 1,519,718.86/1,195.84
  6. Step 6: Final answer
    x = 1,270.84

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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.