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Finding the Fourth Proportional to 1,094.40, 1,641.72 and 401.40

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Solution

The fourth proportional to 1,094.40, 1,641.72 and 401.40 is: 602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.40 : 1,641.72 = 401.40 : x
  2. Step 2: Convert to fraction form
    1,094.40/1,641.72 = 401.40/x
  3. Step 3: Cross multiply
    1,094.40x = 1,641.72 × 401.40
  4. Step 4: Simplify right side
    1,094.40x = 658,986.41
  5. Step 5: Solve for x
    x = 658,986.41/1,094.40
  6. Step 6: Final answer
    x = 602.14

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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.