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Finding the Fourth Proportional to 1,094.54, 1,642.22 and 546.71

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Solution

The fourth proportional to 1,094.54, 1,642.22 and 546.71 is: 820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.54 : 1,642.22 = 546.71 : x
  2. Step 2: Convert to fraction form
    1,094.54/1,642.22 = 546.71/x
  3. Step 3: Cross multiply
    1,094.54x = 1,642.22 × 546.71
  4. Step 4: Simplify right side
    1,094.54x = 897,807.15
  5. Step 5: Solve for x
    x = 897,807.15/1,094.54
  6. Step 6: Final answer
    x = 820.26

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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.