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Finding the Fourth Proportional to 564.96, 779.53 and 344.01

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Solution

The fourth proportional to 564.96, 779.53 and 344.01 is: 474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.96 : 779.53 = 344.01 : x
  2. Step 2: Convert to fraction form
    564.96/779.53 = 344.01/x
  3. Step 3: Cross multiply
    564.96x = 779.53 × 344.01
  4. Step 4: Simplify right side
    564.96x = 268,166.12
  5. Step 5: Solve for x
    x = 268,166.12/564.96
  6. Step 6: Final answer
    x = 474.66

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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.