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Finding the Fourth Proportional to 458.34, 684.11 and 403.67

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Solution

The fourth proportional to 458.34, 684.11 and 403.67 is: 602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.34 : 684.11 = 403.67 : x
  2. Step 2: Convert to fraction form
    458.34/684.11 = 403.67/x
  3. Step 3: Cross multiply
    458.34x = 684.11 × 403.67
  4. Step 4: Simplify right side
    458.34x = 276,149.24
  5. Step 5: Solve for x
    x = 276,149.24/458.34
  6. Step 6: Final answer
    x = 602.50

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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.