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Finding the Fourth Proportional to 1,143.50, 1,715.39 and 412.97

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Solution

The fourth proportional to 1,143.50, 1,715.39 and 412.97 is: 619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.50 : 1,715.39 = 412.97 : x
  2. Step 2: Convert to fraction form
    1,143.50/1,715.39 = 412.97/x
  3. Step 3: Cross multiply
    1,143.50x = 1,715.39 × 412.97
  4. Step 4: Simplify right side
    1,143.50x = 708,409.93
  5. Step 5: Solve for x
    x = 708,409.93/1,143.50
  6. Step 6: Final answer
    x = 619.51

Related Problems

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Double scale
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1.5x scale

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.