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Finding the Fourth Proportional to 1,094.12, 1,509.70 and 628.36

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Solution

The fourth proportional to 1,094.12, 1,509.70 and 628.36 is: 867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.12 : 1,509.70 = 628.36 : x
  2. Step 2: Convert to fraction form
    1,094.12/1,509.70 = 628.36/x
  3. Step 3: Cross multiply
    1,094.12x = 1,509.70 × 628.36
  4. Step 4: Simplify right side
    1,094.12x = 948,635.09
  5. Step 5: Solve for x
    x = 948,635.09/1,094.12
  6. Step 6: Final answer
    x = 867.03

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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.