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Finding the Fourth Proportional to 564.95, 779.70 and 344.03

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Solution

The fourth proportional to 564.95, 779.70 and 344.03 is: 474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.95 : 779.70 = 344.03 : x
  2. Step 2: Convert to fraction form
    564.95/779.70 = 344.03/x
  3. Step 3: Cross multiply
    564.95x = 779.70 × 344.03
  4. Step 4: Simplify right side
    564.95x = 268,242.14
  5. Step 5: Solve for x
    x = 268,242.14/564.95
  6. Step 6: Final answer
    x = 474.80

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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.