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Finding the Fourth Proportional to 518.34, 777.53 and 171.66

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Solution

The fourth proportional to 518.34, 777.53 and 171.66 is: 257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.34 : 777.53 = 171.66 : x
  2. Step 2: Convert to fraction form
    518.34/777.53 = 171.66/x
  3. Step 3: Cross multiply
    518.34x = 777.53 × 171.66
  4. Step 4: Simplify right side
    518.34x = 133,467.67
  5. Step 5: Solve for x
    x = 133,467.67/518.34
  6. Step 6: Final answer
    x = 257.49

Related Problems

Find fourth proportional to 259.17, 388.76 and 85.83
Half scale
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Double scale
Find fourth proportional to 519.34, 779.03 and 172.66
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.