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Finding the Fourth Proportional to 600.76, 829.47 and 469.54

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Solution

The fourth proportional to 600.76, 829.47 and 469.54 is: 648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.76 : 829.47 = 469.54 : x
  2. Step 2: Convert to fraction form
    600.76/829.47 = 469.54/x
  3. Step 3: Cross multiply
    600.76x = 829.47 × 469.54
  4. Step 4: Simplify right side
    600.76x = 389,469.34
  5. Step 5: Solve for x
    x = 389,469.34/600.76
  6. Step 6: Final answer
    x = 648.29

Related Problems

Find fourth proportional to 300.38, 414.74 and 234.77
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.