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Finding the Fourth Proportional to 501.44, 690.95 and 426.49

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Solution

The fourth proportional to 501.44, 690.95 and 426.49 is: 587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.44 : 690.95 = 426.49 : x
  2. Step 2: Convert to fraction form
    501.44/690.95 = 426.49/x
  3. Step 3: Cross multiply
    501.44x = 690.95 × 426.49
  4. Step 4: Simplify right side
    501.44x = 294,682.15
  5. Step 5: Solve for x
    x = 294,682.15/501.44
  6. Step 6: Final answer
    x = 587.67

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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.