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Finding the Fourth Proportional to 601.76, 830.70 and 492.41

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Solution

The fourth proportional to 601.76, 830.70 and 492.41 is: 679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.76 : 830.70 = 492.41 : x
  2. Step 2: Convert to fraction form
    601.76/830.70 = 492.41/x
  3. Step 3: Cross multiply
    601.76x = 830.70 × 492.41
  4. Step 4: Simplify right side
    601.76x = 409,040.83
  5. Step 5: Solve for x
    x = 409,040.83/601.76
  6. Step 6: Final answer
    x = 679.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.