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Finding the Fourth Proportional to 673.96, 1,010.04 and 430.24

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Solution

The fourth proportional to 673.96, 1,010.04 and 430.24 is: 644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.96 : 1,010.04 = 430.24 : x
  2. Step 2: Convert to fraction form
    673.96/1,010.04 = 430.24/x
  3. Step 3: Cross multiply
    673.96x = 1,010.04 × 430.24
  4. Step 4: Simplify right side
    673.96x = 434,559.61
  5. Step 5: Solve for x
    x = 434,559.61/673.96
  6. Step 6: Final answer
    x = 644.79

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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.