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Finding the Fourth Proportional to 869.64, 1,200 and 693.06

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Solution

The fourth proportional to 869.64, 1,200 and 693.06 is: 956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.64 : 1,200 = 693.06 : x
  2. Step 2: Convert to fraction form
    869.64/1,200 = 693.06/x
  3. Step 3: Cross multiply
    869.64x = 1,200 × 693.06
  4. Step 4: Simplify right side
    869.64x = 831,672.00
  5. Step 5: Solve for x
    x = 831,672.00/869.64
  6. Step 6: Final answer
    x = 956.34

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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.