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Finding the Fourth Proportional to 458.46, 684.33 and 403.77

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Solution

The fourth proportional to 458.46, 684.33 and 403.77 is: 602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.46 : 684.33 = 403.77 : x
  2. Step 2: Convert to fraction form
    458.46/684.33 = 403.77/x
  3. Step 3: Cross multiply
    458.46x = 684.33 × 403.77
  4. Step 4: Simplify right side
    458.46x = 276,311.92
  5. Step 5: Solve for x
    x = 276,311.92/458.46
  6. Step 6: Final answer
    x = 602.70

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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.