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Finding the Fourth Proportional to 496.56, 688.40 and 470.23

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Solution

The fourth proportional to 496.56, 688.40 and 470.23 is: 651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.56 : 688.40 = 470.23 : x
  2. Step 2: Convert to fraction form
    496.56/688.40 = 470.23/x
  3. Step 3: Cross multiply
    496.56x = 688.40 × 470.23
  4. Step 4: Simplify right side
    496.56x = 323,708.06
  5. Step 5: Solve for x
    x = 323,708.06/496.56
  6. Step 6: Final answer
    x = 651.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.