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Finding the Fourth Proportional to 734.20, 1,013.61 and 485.44

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Solution

The fourth proportional to 734.20, 1,013.61 and 485.44 is: 670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.20 : 1,013.61 = 485.44 : x
  2. Step 2: Convert to fraction form
    734.20/1,013.61 = 485.44/x
  3. Step 3: Cross multiply
    734.20x = 1,013.61 × 485.44
  4. Step 4: Simplify right side
    734.20x = 492,046.84
  5. Step 5: Solve for x
    x = 492,046.84/734.20
  6. Step 6: Final answer
    x = 670.18

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Half scale
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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.