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Finding the Fourth Proportional to 557.83, 769.79 and 336.76

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Solution

The fourth proportional to 557.83, 769.79 and 336.76 is: 464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.83 : 769.79 = 336.76 : x
  2. Step 2: Convert to fraction form
    557.83/769.79 = 336.76/x
  3. Step 3: Cross multiply
    557.83x = 769.79 × 336.76
  4. Step 4: Simplify right side
    557.83x = 259,232.80
  5. Step 5: Solve for x
    x = 259,232.80/557.83
  6. Step 6: Final answer
    x = 464.72

Related Problems

Find fourth proportional to 278.92, 384.89 and 168.38
Half scale
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Double scale
Find fourth proportional to 558.83, 771.16 and 337.76
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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.