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Finding the Fourth Proportional to 554.98, 765.86 and 319

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Solution

The fourth proportional to 554.98, 765.86 and 319 is: 440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.98 : 765.86 = 319 : x
  2. Step 2: Convert to fraction form
    554.98/765.86 = 319/x
  3. Step 3: Cross multiply
    554.98x = 765.86 × 319
  4. Step 4: Simplify right side
    554.98x = 244,307.75
  5. Step 5: Solve for x
    x = 244,307.75/554.98
  6. Step 6: Final answer
    x = 440.21

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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.