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Finding the Fourth Proportional to 506.84, 758.77 and 458.20

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Solution

The fourth proportional to 506.84, 758.77 and 458.20 is: 685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.84 : 758.77 = 458.20 : x
  2. Step 2: Convert to fraction form
    506.84/758.77 = 458.20/x
  3. Step 3: Cross multiply
    506.84x = 758.77 × 458.20
  4. Step 4: Simplify right side
    506.84x = 347,669.18
  5. Step 5: Solve for x
    x = 347,669.18/506.84
  6. Step 6: Final answer
    x = 685.96

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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.