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Finding the Fourth Proportional to 716.96, 988.94 and 421.98

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Solution

The fourth proportional to 716.96, 988.94 and 421.98 is: 582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.96 : 988.94 = 421.98 : x
  2. Step 2: Convert to fraction form
    716.96/988.94 = 421.98/x
  3. Step 3: Cross multiply
    716.96x = 988.94 × 421.98
  4. Step 4: Simplify right side
    716.96x = 417,312.90
  5. Step 5: Solve for x
    x = 417,312.90/716.96
  6. Step 6: Final answer
    x = 582.06

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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.