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Finding the Fourth Proportional to 621.68, 859.01 and 464.94

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Solution

The fourth proportional to 621.68, 859.01 and 464.94 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.68 : 859.01 = 464.94 : x
  2. Step 2: Convert to fraction form
    621.68/859.01 = 464.94/x
  3. Step 3: Cross multiply
    621.68x = 859.01 × 464.94
  4. Step 4: Simplify right side
    621.68x = 399,385.78
  5. Step 5: Solve for x
    x = 399,385.78/621.68
  6. Step 6: Final answer
    x = 642.44

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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.