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Finding the Fourth Proportional to 475.74, 712.53 and 389.34

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Solution

The fourth proportional to 475.74, 712.53 and 389.34 is: 583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.74 : 712.53 = 389.34 : x
  2. Step 2: Convert to fraction form
    475.74/712.53 = 389.34/x
  3. Step 3: Cross multiply
    475.74x = 712.53 × 389.34
  4. Step 4: Simplify right side
    475.74x = 277,416.43
  5. Step 5: Solve for x
    x = 277,416.43/475.74
  6. Step 6: Final answer
    x = 583.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.