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Finding the Fourth Proportional to 553, 828.84 and 421.98

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Solution

The fourth proportional to 553, 828.84 and 421.98 is: 632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553 : 828.84 = 421.98 : x
  2. Step 2: Convert to fraction form
    553/828.84 = 421.98/x
  3. Step 3: Cross multiply
    553x = 828.84 × 421.98
  4. Step 4: Simplify right side
    553x = 349,753.90
  5. Step 5: Solve for x
    x = 349,753.90/553
  6. Step 6: Final answer
    x = 632.47

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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.