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Finding the Fourth Proportional to 458.47, 684.33 and 403.79

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Solution

The fourth proportional to 458.47, 684.33 and 403.79 is: 602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.47 : 684.33 = 403.79 : x
  2. Step 2: Convert to fraction form
    458.47/684.33 = 403.79/x
  3. Step 3: Cross multiply
    458.47x = 684.33 × 403.79
  4. Step 4: Simplify right side
    458.47x = 276,327.32
  5. Step 5: Solve for x
    x = 276,327.32/458.47
  6. Step 6: Final answer
    x = 602.72

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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.