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Finding the Fourth Proportional to 1,204.92, 1,815.66 and 993.24

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Solution

The fourth proportional to 1,204.92, 1,815.66 and 993.24 is: 1,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.92 : 1,815.66 = 993.24 : x
  2. Step 2: Convert to fraction form
    1,204.92/1,815.66 = 993.24/x
  3. Step 3: Cross multiply
    1,204.92x = 1,815.66 × 993.24
  4. Step 4: Simplify right side
    1,204.92x = 1,803,386.14
  5. Step 5: Solve for x
    x = 1,803,386.14/1,204.92
  6. Step 6: Final answer
    x = 1,496.69

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.