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Finding the Fourth Proportional to 712.62, 983.34 and 464.13

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Solution

The fourth proportional to 712.62, 983.34 and 464.13 is: 640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.62 : 983.34 = 464.13 : x
  2. Step 2: Convert to fraction form
    712.62/983.34 = 464.13/x
  3. Step 3: Cross multiply
    712.62x = 983.34 × 464.13
  4. Step 4: Simplify right side
    712.62x = 456,397.59
  5. Step 5: Solve for x
    x = 456,397.59/712.62
  6. Step 6: Final answer
    x = 640.45

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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.