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Finding the Fourth Proportional to 554.80, 765.66 and 358.84

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Solution

The fourth proportional to 554.80, 765.66 and 358.84 is: 495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.80 : 765.66 = 358.84 : x
  2. Step 2: Convert to fraction form
    554.80/765.66 = 358.84/x
  3. Step 3: Cross multiply
    554.80x = 765.66 × 358.84
  4. Step 4: Simplify right side
    554.80x = 274,749.43
  5. Step 5: Solve for x
    x = 274,749.43/554.80
  6. Step 6: Final answer
    x = 495.22

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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.