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Finding the Fourth Proportional to 554.39, 830.56 and 378.61

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Solution

The fourth proportional to 554.39, 830.56 and 378.61 is: 567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.39 : 830.56 = 378.61 : x
  2. Step 2: Convert to fraction form
    554.39/830.56 = 378.61/x
  3. Step 3: Cross multiply
    554.39x = 830.56 × 378.61
  4. Step 4: Simplify right side
    554.39x = 314,458.32
  5. Step 5: Solve for x
    x = 314,458.32/554.39
  6. Step 6: Final answer
    x = 567.21

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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.