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Finding the Fourth Proportional to 562.98, 840.20 and 548.40

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Solution

The fourth proportional to 562.98, 840.20 and 548.40 is: 818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.98 : 840.20 = 548.40 : x
  2. Step 2: Convert to fraction form
    562.98/840.20 = 548.40/x
  3. Step 3: Cross multiply
    562.98x = 840.20 × 548.40
  4. Step 4: Simplify right side
    562.98x = 460,765.68
  5. Step 5: Solve for x
    x = 460,765.68/562.98
  6. Step 6: Final answer
    x = 818.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.