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Finding the Fourth Proportional to 1,094.70, 1,642.89 and 445.98

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Solution

The fourth proportional to 1,094.70, 1,642.89 and 445.98 is: 669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.70 : 1,642.89 = 445.98 : x
  2. Step 2: Convert to fraction form
    1,094.70/1,642.89 = 445.98/x
  3. Step 3: Cross multiply
    1,094.70x = 1,642.89 × 445.98
  4. Step 4: Simplify right side
    1,094.70x = 732,696.08
  5. Step 5: Solve for x
    x = 732,696.08/1,094.70
  6. Step 6: Final answer
    x = 669.31

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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.