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Finding the Fourth Proportional to 512.76, 708.30 and 488.46

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Solution

The fourth proportional to 512.76, 708.30 and 488.46 is: 674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.76 : 708.30 = 488.46 : x
  2. Step 2: Convert to fraction form
    512.76/708.30 = 488.46/x
  3. Step 3: Cross multiply
    512.76x = 708.30 × 488.46
  4. Step 4: Simplify right side
    512.76x = 345,976.22
  5. Step 5: Solve for x
    x = 345,976.22/512.76
  6. Step 6: Final answer
    x = 674.73

Related Problems

Find fourth proportional to 256.38, 354.15 and 244.23
Half scale
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Double scale
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Similar ratio
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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.