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Finding the Fourth Proportional to 554.96, 833.16 and 298.64

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Solution

The fourth proportional to 554.96, 833.16 and 298.64 is: 448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.96 : 833.16 = 298.64 : x
  2. Step 2: Convert to fraction form
    554.96/833.16 = 298.64/x
  3. Step 3: Cross multiply
    554.96x = 833.16 × 298.64
  4. Step 4: Simplify right side
    554.96x = 248,814.90
  5. Step 5: Solve for x
    x = 248,814.90/554.96
  6. Step 6: Final answer
    x = 448.35

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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.