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Finding the Fourth Proportional to 712.04, 983.21 and 463.79

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Solution

The fourth proportional to 712.04, 983.21 and 463.79 is: 640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.04 : 983.21 = 463.79 : x
  2. Step 2: Convert to fraction form
    712.04/983.21 = 463.79/x
  3. Step 3: Cross multiply
    712.04x = 983.21 × 463.79
  4. Step 4: Simplify right side
    712.04x = 455,995.73
  5. Step 5: Solve for x
    x = 455,995.73/712.04
  6. Step 6: Final answer
    x = 640.41

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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.