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Finding the Fourth Proportional to 513.82, 707.56 and 435.25

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Solution

The fourth proportional to 513.82, 707.56 and 435.25 is: 599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.82 : 707.56 = 435.25 : x
  2. Step 2: Convert to fraction form
    513.82/707.56 = 435.25/x
  3. Step 3: Cross multiply
    513.82x = 707.56 × 435.25
  4. Step 4: Simplify right side
    513.82x = 307,962.63
  5. Step 5: Solve for x
    x = 307,962.63/513.82
  6. Step 6: Final answer
    x = 599.36

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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.