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Finding the Fourth Proportional to 551.26, 830.62 and 492.32

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Solution

The fourth proportional to 551.26, 830.62 and 492.32 is: 741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.26 : 830.62 = 492.32 : x
  2. Step 2: Convert to fraction form
    551.26/830.62 = 492.32/x
  3. Step 3: Cross multiply
    551.26x = 830.62 × 492.32
  4. Step 4: Simplify right side
    551.26x = 408,930.84
  5. Step 5: Solve for x
    x = 408,930.84/551.26
  6. Step 6: Final answer
    x = 741.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.