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Finding the Fourth Proportional to 455.06, 623.28 and 428.46

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Solution

The fourth proportional to 455.06, 623.28 and 428.46 is: 586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 623.28 = 428.46 : x
  2. Step 2: Convert to fraction form
    455.06/623.28 = 428.46/x
  3. Step 3: Cross multiply
    455.06x = 623.28 × 428.46
  4. Step 4: Simplify right side
    455.06x = 267,050.55
  5. Step 5: Solve for x
    x = 267,050.55/455.06
  6. Step 6: Final answer
    x = 586.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.