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Finding the Fourth Proportional to 689.99, 952.36 and 480.20

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Solution

The fourth proportional to 689.99, 952.36 and 480.20 is: 662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.99 : 952.36 = 480.20 : x
  2. Step 2: Convert to fraction form
    689.99/952.36 = 480.20/x
  3. Step 3: Cross multiply
    689.99x = 952.36 × 480.20
  4. Step 4: Simplify right side
    689.99x = 457,317.31
  5. Step 5: Solve for x
    x = 457,317.31/689.99
  6. Step 6: Final answer
    x = 662.79

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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.