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Finding the Fourth Proportional to 455.95, 628.32 and 425.17

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Solution

The fourth proportional to 455.95, 628.32 and 425.17 is: 585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.95 : 628.32 = 425.17 : x
  2. Step 2: Convert to fraction form
    455.95/628.32 = 425.17/x
  3. Step 3: Cross multiply
    455.95x = 628.32 × 425.17
  4. Step 4: Simplify right side
    455.95x = 267,142.81
  5. Step 5: Solve for x
    x = 267,142.81/455.95
  6. Step 6: Final answer
    x = 585.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.