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Finding the Fourth Proportional to 1,094.94, 1,642.20 and 364.50

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Solution

The fourth proportional to 1,094.94, 1,642.20 and 364.50 is: 546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.94 : 1,642.20 = 364.50 : x
  2. Step 2: Convert to fraction form
    1,094.94/1,642.20 = 364.50/x
  3. Step 3: Cross multiply
    1,094.94x = 1,642.20 × 364.50
  4. Step 4: Simplify right side
    1,094.94x = 598,581.90
  5. Step 5: Solve for x
    x = 598,581.90/1,094.94
  6. Step 6: Final answer
    x = 546.68

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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.