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Finding the Fourth Proportional to 417.68, 624.12 and 301.58

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Solution

The fourth proportional to 417.68, 624.12 and 301.58 is: 450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.68 : 624.12 = 301.58 : x
  2. Step 2: Convert to fraction form
    417.68/624.12 = 301.58/x
  3. Step 3: Cross multiply
    417.68x = 624.12 × 301.58
  4. Step 4: Simplify right side
    417.68x = 188,218.99
  5. Step 5: Solve for x
    x = 188,218.99/417.68
  6. Step 6: Final answer
    x = 450.64

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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.