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Finding the Fourth Proportional to 519.01, 778.53 and 172.34

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Solution

The fourth proportional to 519.01, 778.53 and 172.34 is: 258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.01 : 778.53 = 172.34 : x
  2. Step 2: Convert to fraction form
    519.01/778.53 = 172.34/x
  3. Step 3: Cross multiply
    519.01x = 778.53 × 172.34
  4. Step 4: Simplify right side
    519.01x = 134,174.94
  5. Step 5: Solve for x
    x = 134,174.94/519.01
  6. Step 6: Final answer
    x = 258.52

Related Problems

Find fourth proportional to 259.50, 389.26 and 86.17
Half scale
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Double scale
Find fourth proportional to 520.01, 780.03 and 173.34
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.