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Finding the Fourth Proportional to 513.48, 774 and 483.76

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Solution

The fourth proportional to 513.48, 774 and 483.76 is: 729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.48 : 774 = 483.76 : x
  2. Step 2: Convert to fraction form
    513.48/774 = 483.76/x
  3. Step 3: Cross multiply
    513.48x = 774 × 483.76
  4. Step 4: Simplify right side
    513.48x = 374,430.24
  5. Step 5: Solve for x
    x = 374,430.24/513.48
  6. Step 6: Final answer
    x = 729.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.