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Finding the Fourth Proportional to 821.60, 1,230.24 and 435.68

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Solution

The fourth proportional to 821.60, 1,230.24 and 435.68 is: 652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.60 : 1,230.24 = 435.68 : x
  2. Step 2: Convert to fraction form
    821.60/1,230.24 = 435.68/x
  3. Step 3: Cross multiply
    821.60x = 1,230.24 × 435.68
  4. Step 4: Simplify right side
    821.60x = 535,990.96
  5. Step 5: Solve for x
    x = 535,990.96/821.60
  6. Step 6: Final answer
    x = 652.37

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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.