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Finding the Fourth Proportional to 598.51, 826 and 349.91

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Solution

The fourth proportional to 598.51, 826 and 349.91 is: 482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.51 : 826 = 349.91 : x
  2. Step 2: Convert to fraction form
    598.51/826 = 349.91/x
  3. Step 3: Cross multiply
    598.51x = 826 × 349.91
  4. Step 4: Simplify right side
    598.51x = 289,021.53
  5. Step 5: Solve for x
    x = 289,021.53/598.51
  6. Step 6: Final answer
    x = 482.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.