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Finding the Fourth Proportional to 1,199.19, 1,653.21 and 825.57

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Solution

The fourth proportional to 1,199.19, 1,653.21 and 825.57 is: 1,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.19 : 1,653.21 = 825.57 : x
  2. Step 2: Convert to fraction form
    1,199.19/1,653.21 = 825.57/x
  3. Step 3: Cross multiply
    1,199.19x = 1,653.21 × 825.57
  4. Step 4: Simplify right side
    1,199.19x = 1,364,840.58
  5. Step 5: Solve for x
    x = 1,364,840.58/1,199.19
  6. Step 6: Final answer
    x = 1,138.14

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Half scale
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Double scale
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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.