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Finding the Fourth Proportional to 513.14, 766.16 and 507.94

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Solution

The fourth proportional to 513.14, 766.16 and 507.94 is: 758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.14 : 766.16 = 507.94 : x
  2. Step 2: Convert to fraction form
    513.14/766.16 = 507.94/x
  3. Step 3: Cross multiply
    513.14x = 766.16 × 507.94
  4. Step 4: Simplify right side
    513.14x = 389,160.76
  5. Step 5: Solve for x
    x = 389,160.76/513.14
  6. Step 6: Final answer
    x = 758.40

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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.