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Finding the Fourth Proportional to 557.72, 769.58 and 336.76

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Solution

The fourth proportional to 557.72, 769.58 and 336.76 is: 464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.72 : 769.58 = 336.76 : x
  2. Step 2: Convert to fraction form
    557.72/769.58 = 336.76/x
  3. Step 3: Cross multiply
    557.72x = 769.58 × 336.76
  4. Step 4: Simplify right side
    557.72x = 259,163.76
  5. Step 5: Solve for x
    x = 259,163.76/557.72
  6. Step 6: Final answer
    x = 464.68

Related Problems

Find fourth proportional to 278.86, 384.79 and 168.38
Half scale
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Double scale
Find fourth proportional to 558.72, 770.96 and 337.76
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.