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Finding the Fourth Proportional to 458.15, 628.08 and 450.98

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Solution

The fourth proportional to 458.15, 628.08 and 450.98 is: 618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.15 : 628.08 = 450.98 : x
  2. Step 2: Convert to fraction form
    458.15/628.08 = 450.98/x
  3. Step 3: Cross multiply
    458.15x = 628.08 × 450.98
  4. Step 4: Simplify right side
    458.15x = 283,248.38
  5. Step 5: Solve for x
    x = 283,248.38/458.15
  6. Step 6: Final answer
    x = 618.25

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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.