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Finding the Fourth Proportional to 1,120.42, 1,546.32 and 678.21

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Solution

The fourth proportional to 1,120.42, 1,546.32 and 678.21 is: 936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.42 : 1,546.32 = 678.21 : x
  2. Step 2: Convert to fraction form
    1,120.42/1,546.32 = 678.21/x
  3. Step 3: Cross multiply
    1,120.42x = 1,546.32 × 678.21
  4. Step 4: Simplify right side
    1,120.42x = 1,048,729.69
  5. Step 5: Solve for x
    x = 1,048,729.69/1,120.42
  6. Step 6: Final answer
    x = 936.01

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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.