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Finding the Fourth Proportional to 512.38, 706.53 and 364.96

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Solution

The fourth proportional to 512.38, 706.53 and 364.96 is: 503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.38 : 706.53 = 364.96 : x
  2. Step 2: Convert to fraction form
    512.38/706.53 = 364.96/x
  3. Step 3: Cross multiply
    512.38x = 706.53 × 364.96
  4. Step 4: Simplify right side
    512.38x = 257,855.19
  5. Step 5: Solve for x
    x = 257,855.19/512.38
  6. Step 6: Final answer
    x = 503.25

Related Problems

Find fourth proportional to 256.19, 353.27 and 182.48
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Double scale
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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.