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Finding the Fourth Proportional to 698.67, 964.29 and 450.30

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Solution

The fourth proportional to 698.67, 964.29 and 450.30 is: 621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.67 : 964.29 = 450.30 : x
  2. Step 2: Convert to fraction form
    698.67/964.29 = 450.30/x
  3. Step 3: Cross multiply
    698.67x = 964.29 × 450.30
  4. Step 4: Simplify right side
    698.67x = 434,219.79
  5. Step 5: Solve for x
    x = 434,219.79/698.67
  6. Step 6: Final answer
    x = 621.49

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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.