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Finding the Fourth Proportional to 734.28, 1,012.56 and 485.34

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Solution

The fourth proportional to 734.28, 1,012.56 and 485.34 is: 669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.28 : 1,012.56 = 485.34 : x
  2. Step 2: Convert to fraction form
    734.28/1,012.56 = 485.34/x
  3. Step 3: Cross multiply
    734.28x = 1,012.56 × 485.34
  4. Step 4: Simplify right side
    734.28x = 491,435.87
  5. Step 5: Solve for x
    x = 491,435.87/734.28
  6. Step 6: Final answer
    x = 669.28

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Double scale
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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.