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Finding the Fourth Proportional to 545.76, 821.52 and 488.34

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Solution

The fourth proportional to 545.76, 821.52 and 488.34 is: 735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 821.52 = 488.34 : x
  2. Step 2: Convert to fraction form
    545.76/821.52 = 488.34/x
  3. Step 3: Cross multiply
    545.76x = 821.52 × 488.34
  4. Step 4: Simplify right side
    545.76x = 401,181.08
  5. Step 5: Solve for x
    x = 401,181.08/545.76
  6. Step 6: Final answer
    x = 735.09

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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.