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Finding the Fourth Proportional to 514.10, 708.65 and 389.26

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Solution

The fourth proportional to 514.10, 708.65 and 389.26 is: 536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.10 : 708.65 = 389.26 : x
  2. Step 2: Convert to fraction form
    514.10/708.65 = 389.26/x
  3. Step 3: Cross multiply
    514.10x = 708.65 × 389.26
  4. Step 4: Simplify right side
    514.10x = 275,845.51
  5. Step 5: Solve for x
    x = 275,845.51/514.10
  6. Step 6: Final answer
    x = 536.56

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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.