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Finding the Fourth Proportional to 513.49, 709.37 and 474.61

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Solution

The fourth proportional to 513.49, 709.37 and 474.61 is: 655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.49 : 709.37 = 474.61 : x
  2. Step 2: Convert to fraction form
    513.49/709.37 = 474.61/x
  3. Step 3: Cross multiply
    513.49x = 709.37 × 474.61
  4. Step 4: Simplify right side
    513.49x = 336,673.51
  5. Step 5: Solve for x
    x = 336,673.51/513.49
  6. Step 6: Final answer
    x = 655.66

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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.