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Finding the Fourth Proportional to 564.67, 777.89 and 464.43

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Solution

The fourth proportional to 564.67, 777.89 and 464.43 is: 639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.67 : 777.89 = 464.43 : x
  2. Step 2: Convert to fraction form
    564.67/777.89 = 464.43/x
  3. Step 3: Cross multiply
    564.67x = 777.89 × 464.43
  4. Step 4: Simplify right side
    564.67x = 361,276.61
  5. Step 5: Solve for x
    x = 361,276.61/564.67
  6. Step 6: Final answer
    x = 639.80

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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.