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Finding the Fourth Proportional to 544.34, 746.87 and 530.54

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Solution

The fourth proportional to 544.34, 746.87 and 530.54 is: 727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.34 : 746.87 = 530.54 : x
  2. Step 2: Convert to fraction form
    544.34/746.87 = 530.54/x
  3. Step 3: Cross multiply
    544.34x = 746.87 × 530.54
  4. Step 4: Simplify right side
    544.34x = 396,244.41
  5. Step 5: Solve for x
    x = 396,244.41/544.34
  6. Step 6: Final answer
    x = 727.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.