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Finding the Fourth Proportional to 1,373.36, 2,059.32 and 642.33

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Solution

The fourth proportional to 1,373.36, 2,059.32 and 642.33 is: 963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.36 : 2,059.32 = 642.33 : x
  2. Step 2: Convert to fraction form
    1,373.36/2,059.32 = 642.33/x
  3. Step 3: Cross multiply
    1,373.36x = 2,059.32 × 642.33
  4. Step 4: Simplify right side
    1,373.36x = 1,322,765.42
  5. Step 5: Solve for x
    x = 1,322,765.42/1,373.36
  6. Step 6: Final answer
    x = 963.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.