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Finding the Fourth Proportional to 518.96, 778.46 and 172.32

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Solution

The fourth proportional to 518.96, 778.46 and 172.32 is: 258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.96 : 778.46 = 172.32 : x
  2. Step 2: Convert to fraction form
    518.96/778.46 = 172.32/x
  3. Step 3: Cross multiply
    518.96x = 778.46 × 172.32
  4. Step 4: Simplify right side
    518.96x = 134,144.23
  5. Step 5: Solve for x
    x = 134,144.23/518.96
  6. Step 6: Final answer
    x = 258.49

Related Problems

Find fourth proportional to 259.48, 389.23 and 86.16
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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.