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Finding the Fourth Proportional to 513.68, 709.32 and 383.28

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Solution

The fourth proportional to 513.68, 709.32 and 383.28 is: 529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.68 : 709.32 = 383.28 : x
  2. Step 2: Convert to fraction form
    513.68/709.32 = 383.28/x
  3. Step 3: Cross multiply
    513.68x = 709.32 × 383.28
  4. Step 4: Simplify right side
    513.68x = 271,868.17
  5. Step 5: Solve for x
    x = 271,868.17/513.68
  6. Step 6: Final answer
    x = 529.26

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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.