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Finding the Fourth Proportional to 734.05, 1,013.25 and 485.74

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Solution

The fourth proportional to 734.05, 1,013.25 and 485.74 is: 670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.05 : 1,013.25 = 485.74 : x
  2. Step 2: Convert to fraction form
    734.05/1,013.25 = 485.74/x
  3. Step 3: Cross multiply
    734.05x = 1,013.25 × 485.74
  4. Step 4: Simplify right side
    734.05x = 492,176.06
  5. Step 5: Solve for x
    x = 492,176.06/734.05
  6. Step 6: Final answer
    x = 670.49

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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.