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Finding the Fourth Proportional to 1,283.76, 1,770.72 and 933.84

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Solution

The fourth proportional to 1,283.76, 1,770.72 and 933.84 is: 1,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.76 : 1,770.72 = 933.84 : x
  2. Step 2: Convert to fraction form
    1,283.76/1,770.72 = 933.84/x
  3. Step 3: Cross multiply
    1,283.76x = 1,770.72 × 933.84
  4. Step 4: Simplify right side
    1,283.76x = 1,653,569.16
  5. Step 5: Solve for x
    x = 1,653,569.16/1,283.76
  6. Step 6: Final answer
    x = 1,288.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.