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Finding the Fourth Proportional to 1,784.66, 2,677.32 and 551.99

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Solution

The fourth proportional to 1,784.66, 2,677.32 and 551.99 is: 828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.66 : 2,677.32 = 551.99 : x
  2. Step 2: Convert to fraction form
    1,784.66/2,677.32 = 551.99/x
  3. Step 3: Cross multiply
    1,784.66x = 2,677.32 × 551.99
  4. Step 4: Simplify right side
    1,784.66x = 1,477,837.72
  5. Step 5: Solve for x
    x = 1,477,837.72/1,784.66
  6. Step 6: Final answer
    x = 828.08

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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.