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Finding the Fourth Proportional to 545.70, 822.63 and 540.84

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Solution

The fourth proportional to 545.70, 822.63 and 540.84 is: 815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.70 : 822.63 = 540.84 : x
  2. Step 2: Convert to fraction form
    545.70/822.63 = 540.84/x
  3. Step 3: Cross multiply
    545.70x = 822.63 × 540.84
  4. Step 4: Simplify right side
    545.70x = 444,911.21
  5. Step 5: Solve for x
    x = 444,911.21/545.70
  6. Step 6: Final answer
    x = 815.30

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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.