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Finding the Fourth Proportional to 733.94, 1,012.82 and 402.35

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Solution

The fourth proportional to 733.94, 1,012.82 and 402.35 is: 555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.94 : 1,012.82 = 402.35 : x
  2. Step 2: Convert to fraction form
    733.94/1,012.82 = 402.35/x
  3. Step 3: Cross multiply
    733.94x = 1,012.82 × 402.35
  4. Step 4: Simplify right side
    733.94x = 407,501.05
  5. Step 5: Solve for x
    x = 407,501.05/733.94
  6. Step 6: Final answer
    x = 555.23

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