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Finding the Fourth Proportional to 701.68, 967.12 and 480.24

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Solution

The fourth proportional to 701.68, 967.12 and 480.24 is: 661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.68 : 967.12 = 480.24 : x
  2. Step 2: Convert to fraction form
    701.68/967.12 = 480.24/x
  3. Step 3: Cross multiply
    701.68x = 967.12 × 480.24
  4. Step 4: Simplify right side
    701.68x = 464,449.71
  5. Step 5: Solve for x
    x = 464,449.71/701.68
  6. Step 6: Final answer
    x = 661.91

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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.