Home / 1,282.50-1,770.57-983.18

Finding the Fourth Proportional to 1,282.50, 1,770.57 and 983.18

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Solution

The fourth proportional to 1,282.50, 1,770.57 and 983.18 is: 1,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.50 : 1,770.57 = 983.18 : x
  2. Step 2: Convert to fraction form
    1,282.50/1,770.57 = 983.18/x
  3. Step 3: Cross multiply
    1,282.50x = 1,770.57 × 983.18
  4. Step 4: Simplify right side
    1,282.50x = 1,740,789.01
  5. Step 5: Solve for x
    x = 1,740,789.01/1,282.50
  6. Step 6: Final answer
    x = 1,357.34

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1.5x scale

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.