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Finding the Fourth Proportional to 554.31, 830.25 and 348.98

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Solution

The fourth proportional to 554.31, 830.25 and 348.98 is: 522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.31 : 830.25 = 348.98 : x
  2. Step 2: Convert to fraction form
    554.31/830.25 = 348.98/x
  3. Step 3: Cross multiply
    554.31x = 830.25 × 348.98
  4. Step 4: Simplify right side
    554.31x = 289,736.49
  5. Step 5: Solve for x
    x = 289,736.49/554.31
  6. Step 6: Final answer
    x = 522.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.