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Finding the Fourth Proportional to 562.10, 775.31 and 420.21

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Solution

The fourth proportional to 562.10, 775.31 and 420.21 is: 579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.10 : 775.31 = 420.21 : x
  2. Step 2: Convert to fraction form
    562.10/775.31 = 420.21/x
  3. Step 3: Cross multiply
    562.10x = 775.31 × 420.21
  4. Step 4: Simplify right side
    562.10x = 325,790.91
  5. Step 5: Solve for x
    x = 325,790.91/562.10
  6. Step 6: Final answer
    x = 579.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.