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Finding the Fourth Proportional to 513.03, 769.79 and 256.53

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Solution

The fourth proportional to 513.03, 769.79 and 256.53 is: 384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.03 : 769.79 = 256.53 : x
  2. Step 2: Convert to fraction form
    513.03/769.79 = 256.53/x
  3. Step 3: Cross multiply
    513.03x = 769.79 × 256.53
  4. Step 4: Simplify right side
    513.03x = 197,472.95
  5. Step 5: Solve for x
    x = 197,472.95/513.03
  6. Step 6: Final answer
    x = 384.92

Related Problems

Find fourth proportional to 256.52, 384.89 and 128.27
Half scale
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Double scale
Find fourth proportional to 514.03, 771.29 and 257.53
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.