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Finding the Fourth Proportional to 500.85, 690.60 and 427.41

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Solution

The fourth proportional to 500.85, 690.60 and 427.41 is: 589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.85 : 690.60 = 427.41 : x
  2. Step 2: Convert to fraction form
    500.85/690.60 = 427.41/x
  3. Step 3: Cross multiply
    500.85x = 690.60 × 427.41
  4. Step 4: Simplify right side
    500.85x = 295,169.35
  5. Step 5: Solve for x
    x = 295,169.35/500.85
  6. Step 6: Final answer
    x = 589.34

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1.5x scale

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.