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Finding the Fourth Proportional to 513.41, 765.24 and 484.23

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Solution

The fourth proportional to 513.41, 765.24 and 484.23 is: 721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.41 : 765.24 = 484.23 : x
  2. Step 2: Convert to fraction form
    513.41/765.24 = 484.23/x
  3. Step 3: Cross multiply
    513.41x = 765.24 × 484.23
  4. Step 4: Simplify right side
    513.41x = 370,549.49
  5. Step 5: Solve for x
    x = 370,549.49/513.41
  6. Step 6: Final answer
    x = 721.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.