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Finding the Fourth Proportional to 830.81, 1,243.69 and 553.44

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Solution

The fourth proportional to 830.81, 1,243.69 and 553.44 is: 828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.81 : 1,243.69 = 553.44 : x
  2. Step 2: Convert to fraction form
    830.81/1,243.69 = 553.44/x
  3. Step 3: Cross multiply
    830.81x = 1,243.69 × 553.44
  4. Step 4: Simplify right side
    830.81x = 688,308.46
  5. Step 5: Solve for x
    x = 688,308.46/830.81
  6. Step 6: Final answer
    x = 828.48

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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.