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Finding the Fourth Proportional to 713.12, 983.44 and 447.24

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Solution

The fourth proportional to 713.12, 983.44 and 447.24 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.12 : 983.44 = 447.24 : x
  2. Step 2: Convert to fraction form
    713.12/983.44 = 447.24/x
  3. Step 3: Cross multiply
    713.12x = 983.44 × 447.24
  4. Step 4: Simplify right side
    713.12x = 439,833.71
  5. Step 5: Solve for x
    x = 439,833.71/713.12
  6. Step 6: Final answer
    x = 616.77

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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.