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Finding the Fourth Proportional to 733.45, 1,012.15 and 438.55

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Solution

The fourth proportional to 733.45, 1,012.15 and 438.55 is: 605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.45 : 1,012.15 = 438.55 : x
  2. Step 2: Convert to fraction form
    733.45/1,012.15 = 438.55/x
  3. Step 3: Cross multiply
    733.45x = 1,012.15 × 438.55
  4. Step 4: Simplify right side
    733.45x = 443,877.29
  5. Step 5: Solve for x
    x = 443,877.29/733.45
  6. Step 6: Final answer
    x = 605.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.