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Finding the Fourth Proportional to 512.12, 763.63 and 505.74

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Solution

The fourth proportional to 512.12, 763.63 and 505.74 is: 754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.12 : 763.63 = 505.74 : x
  2. Step 2: Convert to fraction form
    512.12/763.63 = 505.74/x
  3. Step 3: Cross multiply
    512.12x = 763.63 × 505.74
  4. Step 4: Simplify right side
    512.12x = 386,199.84
  5. Step 5: Solve for x
    x = 386,199.84/512.12
  6. Step 6: Final answer
    x = 754.12

Related Problems

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Double scale
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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.