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Finding the Fourth Proportional to 674.81, 1,012.20 and 430.76

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Solution

The fourth proportional to 674.81, 1,012.20 and 430.76 is: 646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.81 : 1,012.20 = 430.76 : x
  2. Step 2: Convert to fraction form
    674.81/1,012.20 = 430.76/x
  3. Step 3: Cross multiply
    674.81x = 1,012.20 × 430.76
  4. Step 4: Simplify right side
    674.81x = 436,015.27
  5. Step 5: Solve for x
    x = 436,015.27/674.81
  6. Step 6: Final answer
    x = 646.13

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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.