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Finding the Fourth Proportional to 455.84, 626.63 and 392.59

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Solution

The fourth proportional to 455.84, 626.63 and 392.59 is: 539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.84 : 626.63 = 392.59 : x
  2. Step 2: Convert to fraction form
    455.84/626.63 = 392.59/x
  3. Step 3: Cross multiply
    455.84x = 626.63 × 392.59
  4. Step 4: Simplify right side
    455.84x = 246,008.67
  5. Step 5: Solve for x
    x = 246,008.67/455.84
  6. Step 6: Final answer
    x = 539.68

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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.