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Finding the Fourth Proportional to 554.49, 765.06 and 406.86

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Solution

The fourth proportional to 554.49, 765.06 and 406.86 is: 561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.49 : 765.06 = 406.86 : x
  2. Step 2: Convert to fraction form
    554.49/765.06 = 406.86/x
  3. Step 3: Cross multiply
    554.49x = 765.06 × 406.86
  4. Step 4: Simplify right side
    554.49x = 311,270.28
  5. Step 5: Solve for x
    x = 311,270.28/554.49
  6. Step 6: Final answer
    x = 561.37

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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.