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Finding the Fourth Proportional to 712.93, 983.28 and 464.33

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Solution

The fourth proportional to 712.93, 983.28 and 464.33 is: 640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.93 : 983.28 = 464.33 : x
  2. Step 2: Convert to fraction form
    712.93/983.28 = 464.33/x
  3. Step 3: Cross multiply
    712.93x = 983.28 × 464.33
  4. Step 4: Simplify right side
    712.93x = 456,566.40
  5. Step 5: Solve for x
    x = 456,566.40/712.93
  6. Step 6: Final answer
    x = 640.41

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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.