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Finding the Fourth Proportional to 513.38, 708.23 and 336.53

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Solution

The fourth proportional to 513.38, 708.23 and 336.53 is: 464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.38 : 708.23 = 336.53 : x
  2. Step 2: Convert to fraction form
    513.38/708.23 = 336.53/x
  3. Step 3: Cross multiply
    513.38x = 708.23 × 336.53
  4. Step 4: Simplify right side
    513.38x = 238,335.42
  5. Step 5: Solve for x
    x = 238,335.42/513.38
  6. Step 6: Final answer
    x = 464.25

Related Problems

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Half scale
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Double scale
Find fourth proportional to 514.38, 709.60 and 337.53
Similar ratio
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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.