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Finding the Fourth Proportional to 712.69, 983.75 and 506.29

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Solution

The fourth proportional to 712.69, 983.75 and 506.29 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.69 : 983.75 = 506.29 : x
  2. Step 2: Convert to fraction form
    712.69/983.75 = 506.29/x
  3. Step 3: Cross multiply
    712.69x = 983.75 × 506.29
  4. Step 4: Simplify right side
    712.69x = 498,059.70
  5. Step 5: Solve for x
    x = 498,059.70/712.69
  6. Step 6: Final answer
    x = 698.85

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Double scale
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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.