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Finding the Fourth Proportional to 1,143.84, 1,716.96 and 930

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Solution

The fourth proportional to 1,143.84, 1,716.96 and 930 is: 1,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.84 : 1,716.96 = 930 : x
  2. Step 2: Convert to fraction form
    1,143.84/1,716.96 = 930/x
  3. Step 3: Cross multiply
    1,143.84x = 1,716.96 × 930
  4. Step 4: Simplify right side
    1,143.84x = 1,596,772.80
  5. Step 5: Solve for x
    x = 1,596,772.80/1,143.84
  6. Step 6: Final answer
    x = 1,395.98

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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.