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Finding the Fourth Proportional to 513.57, 706.95 and 389.01

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Solution

The fourth proportional to 513.57, 706.95 and 389.01 is: 535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 706.95 = 389.01 : x
  2. Step 2: Convert to fraction form
    513.57/706.95 = 389.01/x
  3. Step 3: Cross multiply
    513.57x = 706.95 × 389.01
  4. Step 4: Simplify right side
    513.57x = 275,010.62
  5. Step 5: Solve for x
    x = 275,010.62/513.57
  6. Step 6: Final answer
    x = 535.49

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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.