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Finding the Fourth Proportional to 562.02, 840.84 and 378.54

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Solution

The fourth proportional to 562.02, 840.84 and 378.54 is: 566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.02 : 840.84 = 378.54 : x
  2. Step 2: Convert to fraction form
    562.02/840.84 = 378.54/x
  3. Step 3: Cross multiply
    562.02x = 840.84 × 378.54
  4. Step 4: Simplify right side
    562.02x = 318,291.57
  5. Step 5: Solve for x
    x = 318,291.57/562.02
  6. Step 6: Final answer
    x = 566.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.