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Finding the Fourth Proportional to 470.96, 701.71 and 453.30

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Solution

The fourth proportional to 470.96, 701.71 and 453.30 is: 675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.96 : 701.71 = 453.30 : x
  2. Step 2: Convert to fraction form
    470.96/701.71 = 453.30/x
  3. Step 3: Cross multiply
    470.96x = 701.71 × 453.30
  4. Step 4: Simplify right side
    470.96x = 318,083.93
  5. Step 5: Solve for x
    x = 318,083.93/470.96
  6. Step 6: Final answer
    x = 675.39

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