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Finding the Fourth Proportional to 712.42, 982.93 and 460.24

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Solution

The fourth proportional to 712.42, 982.93 and 460.24 is: 635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.42 : 982.93 = 460.24 : x
  2. Step 2: Convert to fraction form
    712.42/982.93 = 460.24/x
  3. Step 3: Cross multiply
    712.42x = 982.93 × 460.24
  4. Step 4: Simplify right side
    712.42x = 452,383.70
  5. Step 5: Solve for x
    x = 452,383.70/712.42
  6. Step 6: Final answer
    x = 635.00

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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.