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Finding the Fourth Proportional to 873.44, 1,300.36 and 869.12

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Solution

The fourth proportional to 873.44, 1,300.36 and 869.12 is: 1,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.44 : 1,300.36 = 869.12 : x
  2. Step 2: Convert to fraction form
    873.44/1,300.36 = 869.12/x
  3. Step 3: Cross multiply
    873.44x = 1,300.36 × 869.12
  4. Step 4: Simplify right side
    873.44x = 1,130,168.88
  5. Step 5: Solve for x
    x = 1,130,168.88/873.44
  6. Step 6: Final answer
    x = 1,293.93

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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.