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Finding the Fourth Proportional to 576.76, 800.05 and 556.60

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Solution

The fourth proportional to 576.76, 800.05 and 556.60 is: 772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.76 : 800.05 = 556.60 : x
  2. Step 2: Convert to fraction form
    576.76/800.05 = 556.60/x
  3. Step 3: Cross multiply
    576.76x = 800.05 × 556.60
  4. Step 4: Simplify right side
    576.76x = 445,307.83
  5. Step 5: Solve for x
    x = 445,307.83/576.76
  6. Step 6: Final answer
    x = 772.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.