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Finding the Fourth Proportional to 852.65, 1,176.07 and 824.08

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Solution

The fourth proportional to 852.65, 1,176.07 and 824.08 is: 1,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.65 : 1,176.07 = 824.08 : x
  2. Step 2: Convert to fraction form
    852.65/1,176.07 = 824.08/x
  3. Step 3: Cross multiply
    852.65x = 1,176.07 × 824.08
  4. Step 4: Simplify right side
    852.65x = 969,175.77
  5. Step 5: Solve for x
    x = 969,175.77/852.65
  6. Step 6: Final answer
    x = 1,136.66

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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.