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Finding the Fourth Proportional to 455.90, 687.05 and 433.94

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Solution

The fourth proportional to 455.90, 687.05 and 433.94 is: 653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.90 : 687.05 = 433.94 : x
  2. Step 2: Convert to fraction form
    455.90/687.05 = 433.94/x
  3. Step 3: Cross multiply
    455.90x = 687.05 × 433.94
  4. Step 4: Simplify right side
    455.90x = 298,138.48
  5. Step 5: Solve for x
    x = 298,138.48/455.90
  6. Step 6: Final answer
    x = 653.96

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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.