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Finding the Fourth Proportional to 514.03, 708.76 and 389.45

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Solution

The fourth proportional to 514.03, 708.76 and 389.45 is: 536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.03 : 708.76 = 389.45 : x
  2. Step 2: Convert to fraction form
    514.03/708.76 = 389.45/x
  3. Step 3: Cross multiply
    514.03x = 708.76 × 389.45
  4. Step 4: Simplify right side
    514.03x = 276,026.58
  5. Step 5: Solve for x
    x = 276,026.58/514.03
  6. Step 6: Final answer
    x = 536.99

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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.