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Finding the Fourth Proportional to 822.10, 1,230.98 and 436.18

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Solution

The fourth proportional to 822.10, 1,230.98 and 436.18 is: 653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.10 : 1,230.98 = 436.18 : x
  2. Step 2: Convert to fraction form
    822.10/1,230.98 = 436.18/x
  3. Step 3: Cross multiply
    822.10x = 1,230.98 × 436.18
  4. Step 4: Simplify right side
    822.10x = 536,928.86
  5. Step 5: Solve for x
    x = 536,928.86/822.10
  6. Step 6: Final answer
    x = 653.12

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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.