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Finding the Fourth Proportional to 547.29, 752.48 and 487.72

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Solution

The fourth proportional to 547.29, 752.48 and 487.72 is: 670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.29 : 752.48 = 487.72 : x
  2. Step 2: Convert to fraction form
    547.29/752.48 = 487.72/x
  3. Step 3: Cross multiply
    547.29x = 752.48 × 487.72
  4. Step 4: Simplify right side
    547.29x = 366,999.88
  5. Step 5: Solve for x
    x = 366,999.88/547.29
  6. Step 6: Final answer
    x = 670.58

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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.