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Finding the Fourth Proportional to 458.51, 684.78 and 376.43

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Solution

The fourth proportional to 458.51, 684.78 and 376.43 is: 562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.51 : 684.78 = 376.43 : x
  2. Step 2: Convert to fraction form
    458.51/684.78 = 376.43/x
  3. Step 3: Cross multiply
    458.51x = 684.78 × 376.43
  4. Step 4: Simplify right side
    458.51x = 257,766.90
  5. Step 5: Solve for x
    x = 257,766.90/458.51
  6. Step 6: Final answer
    x = 562.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.