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Finding the Fourth Proportional to 438.63, 653.46 and 417.99

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Solution

The fourth proportional to 438.63, 653.46 and 417.99 is: 622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.63 : 653.46 = 417.99 : x
  2. Step 2: Convert to fraction form
    438.63/653.46 = 417.99/x
  3. Step 3: Cross multiply
    438.63x = 653.46 × 417.99
  4. Step 4: Simplify right side
    438.63x = 273,139.75
  5. Step 5: Solve for x
    x = 273,139.75/438.63
  6. Step 6: Final answer
    x = 622.71

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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.