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Finding the Fourth Proportional to 1,143.61, 1,715.46 and 321.94

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Solution

The fourth proportional to 1,143.61, 1,715.46 and 321.94 is: 482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.61 : 1,715.46 = 321.94 : x
  2. Step 2: Convert to fraction form
    1,143.61/1,715.46 = 321.94/x
  3. Step 3: Cross multiply
    1,143.61x = 1,715.46 × 321.94
  4. Step 4: Simplify right side
    1,143.61x = 552,275.19
  5. Step 5: Solve for x
    x = 552,275.19/1,143.61
  6. Step 6: Final answer
    x = 482.92

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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.