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Finding the Fourth Proportional to 513.92, 706.56 and 435.84

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Solution

The fourth proportional to 513.92, 706.56 and 435.84 is: 599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.92 : 706.56 = 435.84 : x
  2. Step 2: Convert to fraction form
    513.92/706.56 = 435.84/x
  3. Step 3: Cross multiply
    513.92x = 706.56 × 435.84
  4. Step 4: Simplify right side
    513.92x = 307,947.11
  5. Step 5: Solve for x
    x = 307,947.11/513.92
  6. Step 6: Final answer
    x = 599.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.