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Finding the Fourth Proportional to 706.72, 976.08 and 576.40

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Solution

The fourth proportional to 706.72, 976.08 and 576.40 is: 796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.72 : 976.08 = 576.40 : x
  2. Step 2: Convert to fraction form
    706.72/976.08 = 576.40/x
  3. Step 3: Cross multiply
    706.72x = 976.08 × 576.40
  4. Step 4: Simplify right side
    706.72x = 562,612.51
  5. Step 5: Solve for x
    x = 562,612.51/706.72
  6. Step 6: Final answer
    x = 796.09

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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.