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Finding the Fourth Proportional to 553.21, 833.62 and 457.86

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Solution

The fourth proportional to 553.21, 833.62 and 457.86 is: 689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.21 : 833.62 = 457.86 : x
  2. Step 2: Convert to fraction form
    553.21/833.62 = 457.86/x
  3. Step 3: Cross multiply
    553.21x = 833.62 × 457.86
  4. Step 4: Simplify right side
    553.21x = 381,680.69
  5. Step 5: Solve for x
    x = 381,680.69/553.21
  6. Step 6: Final answer
    x = 689.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.