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Finding the Fourth Proportional to 871.64, 1,200.14 and 778.02

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Solution

The fourth proportional to 871.64, 1,200.14 and 778.02 is: 1,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.64 : 1,200.14 = 778.02 : x
  2. Step 2: Convert to fraction form
    871.64/1,200.14 = 778.02/x
  3. Step 3: Cross multiply
    871.64x = 1,200.14 × 778.02
  4. Step 4: Simplify right side
    871.64x = 933,732.92
  5. Step 5: Solve for x
    x = 933,732.92/871.64
  6. Step 6: Final answer
    x = 1,071.24

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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.