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Finding the Fourth Proportional to 820.67, 1,230.99 and 457.77

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Solution

The fourth proportional to 820.67, 1,230.99 and 457.77 is: 686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.67 : 1,230.99 = 457.77 : x
  2. Step 2: Convert to fraction form
    820.67/1,230.99 = 457.77/x
  3. Step 3: Cross multiply
    820.67x = 1,230.99 × 457.77
  4. Step 4: Simplify right side
    820.67x = 563,505.68
  5. Step 5: Solve for x
    x = 563,505.68/820.67
  6. Step 6: Final answer
    x = 686.64

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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.