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Finding the Fourth Proportional to 564.20, 778.56 and 315.40

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Solution

The fourth proportional to 564.20, 778.56 and 315.40 is: 435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.20 : 778.56 = 315.40 : x
  2. Step 2: Convert to fraction form
    564.20/778.56 = 315.40/x
  3. Step 3: Cross multiply
    564.20x = 778.56 × 315.40
  4. Step 4: Simplify right side
    564.20x = 245,557.82
  5. Step 5: Solve for x
    x = 245,557.82/564.20
  6. Step 6: Final answer
    x = 435.23

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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.