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Finding the Fourth Proportional to 983.76, 1,357.56 and 852.72

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Solution

The fourth proportional to 983.76, 1,357.56 and 852.72 is: 1,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.76 : 1,357.56 = 852.72 : x
  2. Step 2: Convert to fraction form
    983.76/1,357.56 = 852.72/x
  3. Step 3: Cross multiply
    983.76x = 1,357.56 × 852.72
  4. Step 4: Simplify right side
    983.76x = 1,157,618.56
  5. Step 5: Solve for x
    x = 1,157,618.56/983.76
  6. Step 6: Final answer
    x = 1,176.73

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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.