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Finding the Fourth Proportional to 551.51, 825.74 and 368.65

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Solution

The fourth proportional to 551.51, 825.74 and 368.65 is: 551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.51 : 825.74 = 368.65 : x
  2. Step 2: Convert to fraction form
    551.51/825.74 = 368.65/x
  3. Step 3: Cross multiply
    551.51x = 825.74 × 368.65
  4. Step 4: Simplify right side
    551.51x = 304,403.08
  5. Step 5: Solve for x
    x = 304,403.08/551.51
  6. Step 6: Final answer
    x = 551.95

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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.