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Finding the Fourth Proportional to 852.76, 1,170.56 and 787.12

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Solution

The fourth proportional to 852.76, 1,170.56 and 787.12 is: 1,080.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.76 : 1,170.56 = 787.12 : x
  2. Step 2: Convert to fraction form
    852.76/1,170.56 = 787.12/x
  3. Step 3: Cross multiply
    852.76x = 1,170.56 × 787.12
  4. Step 4: Simplify right side
    852.76x = 921,371.19
  5. Step 5: Solve for x
    x = 921,371.19/852.76
  6. Step 6: Final answer
    x = 1,080.46

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.