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Finding the Fourth Proportional to 1,192.58, 1,789.24 and 535

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Solution

The fourth proportional to 1,192.58, 1,789.24 and 535 is: 802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.58 : 1,789.24 = 535 : x
  2. Step 2: Convert to fraction form
    1,192.58/1,789.24 = 535/x
  3. Step 3: Cross multiply
    1,192.58x = 1,789.24 × 535
  4. Step 4: Simplify right side
    1,192.58x = 957,240.73
  5. Step 5: Solve for x
    x = 957,240.73/1,192.58
  6. Step 6: Final answer
    x = 802.67

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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.