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Finding the Fourth Proportional to 807.70, 1,211.76 and 417.82

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Solution

The fourth proportional to 807.70, 1,211.76 and 417.82 is: 626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.70 : 1,211.76 = 417.82 : x
  2. Step 2: Convert to fraction form
    807.70/1,211.76 = 417.82/x
  3. Step 3: Cross multiply
    807.70x = 1,211.76 × 417.82
  4. Step 4: Simplify right side
    807.70x = 506,297.56
  5. Step 5: Solve for x
    x = 506,297.56/807.70
  6. Step 6: Final answer
    x = 626.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.