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Finding the Fourth Proportional to 872.06, 1,306.86 and 384.98

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Solution

The fourth proportional to 872.06, 1,306.86 and 384.98 is: 576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.06 : 1,306.86 = 384.98 : x
  2. Step 2: Convert to fraction form
    872.06/1,306.86 = 384.98/x
  3. Step 3: Cross multiply
    872.06x = 1,306.86 × 384.98
  4. Step 4: Simplify right side
    872.06x = 503,114.96
  5. Step 5: Solve for x
    x = 503,114.96/872.06
  6. Step 6: Final answer
    x = 576.93

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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.