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Finding the Fourth Proportional to 500.17, 690.90 and 453.59

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Solution

The fourth proportional to 500.17, 690.90 and 453.59 is: 626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.17 : 690.90 = 453.59 : x
  2. Step 2: Convert to fraction form
    500.17/690.90 = 453.59/x
  3. Step 3: Cross multiply
    500.17x = 690.90 × 453.59
  4. Step 4: Simplify right side
    500.17x = 313,385.33
  5. Step 5: Solve for x
    x = 313,385.33/500.17
  6. Step 6: Final answer
    x = 626.56

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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.