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Finding the Fourth Proportional to 513.54, 774.77 and 498.96

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Solution

The fourth proportional to 513.54, 774.77 and 498.96 is: 752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.54 : 774.77 = 498.96 : x
  2. Step 2: Convert to fraction form
    513.54/774.77 = 498.96/x
  3. Step 3: Cross multiply
    513.54x = 774.77 × 498.96
  4. Step 4: Simplify right side
    513.54x = 386,576.74
  5. Step 5: Solve for x
    x = 386,576.74/513.54
  6. Step 6: Final answer
    x = 752.77

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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.