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Finding the Fourth Proportional to 513.42, 706.35 and 474.27

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Solution

The fourth proportional to 513.42, 706.35 and 474.27 is: 652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.42 : 706.35 = 474.27 : x
  2. Step 2: Convert to fraction form
    513.42/706.35 = 474.27/x
  3. Step 3: Cross multiply
    513.42x = 706.35 × 474.27
  4. Step 4: Simplify right side
    513.42x = 335,000.61
  5. Step 5: Solve for x
    x = 335,000.61/513.42
  6. Step 6: Final answer
    x = 652.49

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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.