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Finding the Fourth Proportional to 496.66, 741.60 and 423.76

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Solution

The fourth proportional to 496.66, 741.60 and 423.76 is: 632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.66 : 741.60 = 423.76 : x
  2. Step 2: Convert to fraction form
    496.66/741.60 = 423.76/x
  3. Step 3: Cross multiply
    496.66x = 741.60 × 423.76
  4. Step 4: Simplify right side
    496.66x = 314,260.42
  5. Step 5: Solve for x
    x = 314,260.42/496.66
  6. Step 6: Final answer
    x = 632.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.