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Finding the Fourth Proportional to 674.19, 1,010.05 and 430.20

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Solution

The fourth proportional to 674.19, 1,010.05 and 430.20 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.19 : 1,010.05 = 430.20 : x
  2. Step 2: Convert to fraction form
    674.19/1,010.05 = 430.20/x
  3. Step 3: Cross multiply
    674.19x = 1,010.05 × 430.20
  4. Step 4: Simplify right side
    674.19x = 434,522.43
  5. Step 5: Solve for x
    x = 434,522.43/674.19
  6. Step 6: Final answer
    x = 644.51

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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.