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Finding the Fourth Proportional to 871.28, 1,300.57 and 756.52

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Solution

The fourth proportional to 871.28, 1,300.57 and 756.52 is: 1,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.28 : 1,300.57 = 756.52 : x
  2. Step 2: Convert to fraction form
    871.28/1,300.57 = 756.52/x
  3. Step 3: Cross multiply
    871.28x = 1,300.57 × 756.52
  4. Step 4: Simplify right side
    871.28x = 983,907.22
  5. Step 5: Solve for x
    x = 983,907.22/871.28
  6. Step 6: Final answer
    x = 1,129.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.