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Finding the Fourth Proportional to 554.88, 765.66 and 345

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Solution

The fourth proportional to 554.88, 765.66 and 345 is: 476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.88 : 765.66 = 345 : x
  2. Step 2: Convert to fraction form
    554.88/765.66 = 345/x
  3. Step 3: Cross multiply
    554.88x = 765.66 × 345
  4. Step 4: Simplify right side
    554.88x = 264,152.70
  5. Step 5: Solve for x
    x = 264,152.70/554.88
  6. Step 6: Final answer
    x = 476.05

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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.