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Finding the Fourth Proportional to 434.12, 655.04 and 417.24

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Solution

The fourth proportional to 434.12, 655.04 and 417.24 is: 629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.12 : 655.04 = 417.24 : x
  2. Step 2: Convert to fraction form
    434.12/655.04 = 417.24/x
  3. Step 3: Cross multiply
    434.12x = 655.04 × 417.24
  4. Step 4: Simplify right side
    434.12x = 273,309.93
  5. Step 5: Solve for x
    x = 273,309.93/434.12
  6. Step 6: Final answer
    x = 629.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.