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Finding the Fourth Proportional to 554.51, 830.84 and 371.95

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Solution

The fourth proportional to 554.51, 830.84 and 371.95 is: 557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.51 : 830.84 = 371.95 : x
  2. Step 2: Convert to fraction form
    554.51/830.84 = 371.95/x
  3. Step 3: Cross multiply
    554.51x = 830.84 × 371.95
  4. Step 4: Simplify right side
    554.51x = 309,030.94
  5. Step 5: Solve for x
    x = 309,030.94/554.51
  6. Step 6: Final answer
    x = 557.30

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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.