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Finding the Fourth Proportional to 866.45, 1,195.28 and 534.67

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Solution

The fourth proportional to 866.45, 1,195.28 and 534.67 is: 737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.45 : 1,195.28 = 534.67 : x
  2. Step 2: Convert to fraction form
    866.45/1,195.28 = 534.67/x
  3. Step 3: Cross multiply
    866.45x = 1,195.28 × 534.67
  4. Step 4: Simplify right side
    866.45x = 639,080.36
  5. Step 5: Solve for x
    x = 639,080.36/866.45
  6. Step 6: Final answer
    x = 737.58

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1.5x scale

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.