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Finding the Fourth Proportional to 712.48, 982.76 and 460.74

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Solution

The fourth proportional to 712.48, 982.76 and 460.74 is: 635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.48 : 982.76 = 460.74 : x
  2. Step 2: Convert to fraction form
    712.48/982.76 = 460.74/x
  3. Step 3: Cross multiply
    712.48x = 982.76 × 460.74
  4. Step 4: Simplify right side
    712.48x = 452,796.84
  5. Step 5: Solve for x
    x = 452,796.84/712.48
  6. Step 6: Final answer
    x = 635.52

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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.