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Finding the Fourth Proportional to 526.41, 786.45 and 394.05

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Solution

The fourth proportional to 526.41, 786.45 and 394.05 is: 588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.41 : 786.45 = 394.05 : x
  2. Step 2: Convert to fraction form
    526.41/786.45 = 394.05/x
  3. Step 3: Cross multiply
    526.41x = 786.45 × 394.05
  4. Step 4: Simplify right side
    526.41x = 309,900.62
  5. Step 5: Solve for x
    x = 309,900.62/526.41
  6. Step 6: Final answer
    x = 588.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.