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Finding the Fourth Proportional to 1,539.23, 2,308.55 and 551.88

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Solution

The fourth proportional to 1,539.23, 2,308.55 and 551.88 is: 827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.23 : 2,308.55 = 551.88 : x
  2. Step 2: Convert to fraction form
    1,539.23/2,308.55 = 551.88/x
  3. Step 3: Cross multiply
    1,539.23x = 2,308.55 × 551.88
  4. Step 4: Simplify right side
    1,539.23x = 1,274,039.81
  5. Step 5: Solve for x
    x = 1,274,039.81/1,539.23
  6. Step 6: Final answer
    x = 827.72

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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.