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Finding the Fourth Proportional to 476.07, 659.51 and 464.73

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Solution

The fourth proportional to 476.07, 659.51 and 464.73 is: 643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.07 : 659.51 = 464.73 : x
  2. Step 2: Convert to fraction form
    476.07/659.51 = 464.73/x
  3. Step 3: Cross multiply
    476.07x = 659.51 × 464.73
  4. Step 4: Simplify right side
    476.07x = 306,494.08
  5. Step 5: Solve for x
    x = 306,494.08/476.07
  6. Step 6: Final answer
    x = 643.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.