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Finding the Fourth Proportional to 469.89, 703.31 and 424.98

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Solution

The fourth proportional to 469.89, 703.31 and 424.98 is: 636.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.89 : 703.31 = 424.98 : x
  2. Step 2: Convert to fraction form
    469.89/703.31 = 424.98/x
  3. Step 3: Cross multiply
    469.89x = 703.31 × 424.98
  4. Step 4: Simplify right side
    469.89x = 298,890.56
  5. Step 5: Solve for x
    x = 298,890.56/469.89
  6. Step 6: Final answer
    x = 636.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.