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Finding the Fourth Proportional to 699.14, 964.51 and 450.37

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Solution

The fourth proportional to 699.14, 964.51 and 450.37 is: 621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.14 : 964.51 = 450.37 : x
  2. Step 2: Convert to fraction form
    699.14/964.51 = 450.37/x
  3. Step 3: Cross multiply
    699.14x = 964.51 × 450.37
  4. Step 4: Simplify right side
    699.14x = 434,386.45
  5. Step 5: Solve for x
    x = 434,386.45/699.14
  6. Step 6: Final answer
    x = 621.31

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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.