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Finding the Fourth Proportional to 871.12, 1,200.84 and 715.60

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Solution

The fourth proportional to 871.12, 1,200.84 and 715.60 is: 986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.12 : 1,200.84 = 715.60 : x
  2. Step 2: Convert to fraction form
    871.12/1,200.84 = 715.60/x
  3. Step 3: Cross multiply
    871.12x = 1,200.84 × 715.60
  4. Step 4: Simplify right side
    871.12x = 859,321.10
  5. Step 5: Solve for x
    x = 859,321.10/871.12
  6. Step 6: Final answer
    x = 986.46

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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.