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Finding the Fourth Proportional to 712.76, 983.99 and 546.44

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Solution

The fourth proportional to 712.76, 983.99 and 546.44 is: 754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.76 : 983.99 = 546.44 : x
  2. Step 2: Convert to fraction form
    712.76/983.99 = 546.44/x
  3. Step 3: Cross multiply
    712.76x = 983.99 × 546.44
  4. Step 4: Simplify right side
    712.76x = 537,683.84
  5. Step 5: Solve for x
    x = 537,683.84/712.76
  6. Step 6: Final answer
    x = 754.37

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Half scale
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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.