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Finding the Fourth Proportional to 513.22, 707.62 and 434.39

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Solution

The fourth proportional to 513.22, 707.62 and 434.39 is: 598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.22 : 707.62 = 434.39 : x
  2. Step 2: Convert to fraction form
    513.22/707.62 = 434.39/x
  3. Step 3: Cross multiply
    513.22x = 707.62 × 434.39
  4. Step 4: Simplify right side
    513.22x = 307,383.05
  5. Step 5: Solve for x
    x = 307,383.05/513.22
  6. Step 6: Final answer
    x = 598.93

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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.