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Finding the Fourth Proportional to 496.67, 740.88 and 420.12

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Solution

The fourth proportional to 496.67, 740.88 and 420.12 is: 626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.67 : 740.88 = 420.12 : x
  2. Step 2: Convert to fraction form
    496.67/740.88 = 420.12/x
  3. Step 3: Cross multiply
    496.67x = 740.88 × 420.12
  4. Step 4: Simplify right side
    496.67x = 311,258.51
  5. Step 5: Solve for x
    x = 311,258.51/496.67
  6. Step 6: Final answer
    x = 626.70

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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.