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Finding the Fourth Proportional to 733.49, 1,012.64 and 485.53

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Solution

The fourth proportional to 733.49, 1,012.64 and 485.53 is: 670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.49 : 1,012.64 = 485.53 : x
  2. Step 2: Convert to fraction form
    733.49/1,012.64 = 485.53/x
  3. Step 3: Cross multiply
    733.49x = 1,012.64 × 485.53
  4. Step 4: Simplify right side
    733.49x = 491,667.10
  5. Step 5: Solve for x
    x = 491,667.10/733.49
  6. Step 6: Final answer
    x = 670.31

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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.