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Finding the Fourth Proportional to 1,328.34, 1,990.78 and 547.45

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Solution

The fourth proportional to 1,328.34, 1,990.78 and 547.45 is: 820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.34 : 1,990.78 = 547.45 : x
  2. Step 2: Convert to fraction form
    1,328.34/1,990.78 = 547.45/x
  3. Step 3: Cross multiply
    1,328.34x = 1,990.78 × 547.45
  4. Step 4: Simplify right side
    1,328.34x = 1,089,849.77
  5. Step 5: Solve for x
    x = 1,089,849.77/1,328.34
  6. Step 6: Final answer
    x = 820.46

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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.