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Finding the Fourth Proportional to 547.27, 824.59 and 488.32

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Solution

The fourth proportional to 547.27, 824.59 and 488.32 is: 735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.27 : 824.59 = 488.32 : x
  2. Step 2: Convert to fraction form
    547.27/824.59 = 488.32/x
  3. Step 3: Cross multiply
    547.27x = 824.59 × 488.32
  4. Step 4: Simplify right side
    547.27x = 402,657.22
  5. Step 5: Solve for x
    x = 402,657.22/547.27
  6. Step 6: Final answer
    x = 735.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.