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Finding the Fourth Proportional to 673.79, 1,010.15 and 416.75

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Solution

The fourth proportional to 673.79, 1,010.15 and 416.75 is: 624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.79 : 1,010.15 = 416.75 : x
  2. Step 2: Convert to fraction form
    673.79/1,010.15 = 416.75/x
  3. Step 3: Cross multiply
    673.79x = 1,010.15 × 416.75
  4. Step 4: Simplify right side
    673.79x = 420,977.93
  5. Step 5: Solve for x
    x = 420,977.93/673.79
  6. Step 6: Final answer
    x = 624.79

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Why These Related Problems?

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