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Finding the Fourth Proportional to 698.52, 964.40 and 628.36

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Solution

The fourth proportional to 698.52, 964.40 and 628.36 is: 867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.52 : 964.40 = 628.36 : x
  2. Step 2: Convert to fraction form
    698.52/964.40 = 628.36/x
  3. Step 3: Cross multiply
    698.52x = 964.40 × 628.36
  4. Step 4: Simplify right side
    698.52x = 605,990.38
  5. Step 5: Solve for x
    x = 605,990.38/698.52
  6. Step 6: Final answer
    x = 867.53

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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.