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Finding the Fourth Proportional to 1,094.28, 1,641.65 and 400.94

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Solution

The fourth proportional to 1,094.28, 1,641.65 and 400.94 is: 601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.28 : 1,641.65 = 400.94 : x
  2. Step 2: Convert to fraction form
    1,094.28/1,641.65 = 400.94/x
  3. Step 3: Cross multiply
    1,094.28x = 1,641.65 × 400.94
  4. Step 4: Simplify right side
    1,094.28x = 658,208.26
  5. Step 5: Solve for x
    x = 658,208.26/1,094.28
  6. Step 6: Final answer
    x = 601.50

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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.