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Finding the Fourth Proportional to 474.49, 708.82 and 336.45

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Solution

The fourth proportional to 474.49, 708.82 and 336.45 is: 502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.49 : 708.82 = 336.45 : x
  2. Step 2: Convert to fraction form
    474.49/708.82 = 336.45/x
  3. Step 3: Cross multiply
    474.49x = 708.82 × 336.45
  4. Step 4: Simplify right side
    474.49x = 238,484.31
  5. Step 5: Solve for x
    x = 238,484.31/474.49
  6. Step 6: Final answer
    x = 502.61

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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.