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Finding the Fourth Proportional to 628.64, 865.36 and 544.58

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Solution

The fourth proportional to 628.64, 865.36 and 544.58 is: 749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.64 : 865.36 = 544.58 : x
  2. Step 2: Convert to fraction form
    628.64/865.36 = 544.58/x
  3. Step 3: Cross multiply
    628.64x = 865.36 × 544.58
  4. Step 4: Simplify right side
    628.64x = 471,257.75
  5. Step 5: Solve for x
    x = 471,257.75/628.64
  6. Step 6: Final answer
    x = 749.65

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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.