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Finding the Fourth Proportional to 500.42, 685.41 and 470.90

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Solution

The fourth proportional to 500.42, 685.41 and 470.90 is: 644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.42 : 685.41 = 470.90 : x
  2. Step 2: Convert to fraction form
    500.42/685.41 = 470.90/x
  3. Step 3: Cross multiply
    500.42x = 685.41 × 470.90
  4. Step 4: Simplify right side
    500.42x = 322,757.21
  5. Step 5: Solve for x
    x = 322,757.21/500.42
  6. Step 6: Final answer
    x = 644.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.