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Finding the Fourth Proportional to 517.64, 776.42 and 170.98

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Solution

The fourth proportional to 517.64, 776.42 and 170.98 is: 256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 776.42 = 170.98 : x
  2. Step 2: Convert to fraction form
    517.64/776.42 = 170.98/x
  3. Step 3: Cross multiply
    517.64x = 776.42 × 170.98
  4. Step 4: Simplify right side
    517.64x = 132,749.50
  5. Step 5: Solve for x
    x = 132,749.50/517.64
  6. Step 6: Final answer
    x = 256.45

Related Problems

Find fourth proportional to 258.82, 388.21 and 85.49
Half scale
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Double scale
Find fourth proportional to 518.64, 777.91 and 171.98
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.