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Finding the Fourth Proportional to 551.57, 761.63 and 355.32

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Solution

The fourth proportional to 551.57, 761.63 and 355.32 is: 490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.57 : 761.63 = 355.32 : x
  2. Step 2: Convert to fraction form
    551.57/761.63 = 355.32/x
  3. Step 3: Cross multiply
    551.57x = 761.63 × 355.32
  4. Step 4: Simplify right side
    551.57x = 270,620.60
  5. Step 5: Solve for x
    x = 270,620.60/551.57
  6. Step 6: Final answer
    x = 490.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.