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Finding the Fourth Proportional to 712.37, 983.46 and 546.06

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Solution

The fourth proportional to 712.37, 983.46 and 546.06 is: 753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.37 : 983.46 = 546.06 : x
  2. Step 2: Convert to fraction form
    712.37/983.46 = 546.06/x
  3. Step 3: Cross multiply
    712.37x = 983.46 × 546.06
  4. Step 4: Simplify right side
    712.37x = 537,033.90
  5. Step 5: Solve for x
    x = 537,033.90/712.37
  6. Step 6: Final answer
    x = 753.87

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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.