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Finding the Fourth Proportional to 628.64, 866.55 and 535.36

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Solution

The fourth proportional to 628.64, 866.55 and 535.36 is: 737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.64 : 866.55 = 535.36 : x
  2. Step 2: Convert to fraction form
    628.64/866.55 = 535.36/x
  3. Step 3: Cross multiply
    628.64x = 866.55 × 535.36
  4. Step 4: Simplify right side
    628.64x = 463,914.04
  5. Step 5: Solve for x
    x = 463,914.04/628.64
  6. Step 6: Final answer
    x = 737.96

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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.