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Finding the Fourth Proportional to 513.12, 706.88 and 424.23

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Solution

The fourth proportional to 513.12, 706.88 and 424.23 is: 584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.12 : 706.88 = 424.23 : x
  2. Step 2: Convert to fraction form
    513.12/706.88 = 424.23/x
  3. Step 3: Cross multiply
    513.12x = 706.88 × 424.23
  4. Step 4: Simplify right side
    513.12x = 299,877.58
  5. Step 5: Solve for x
    x = 299,877.58/513.12
  6. Step 6: Final answer
    x = 584.42

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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.