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Finding the Fourth Proportional to 564.36, 778.82 and 328.38

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Solution

The fourth proportional to 564.36, 778.82 and 328.38 is: 453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.36 : 778.82 = 328.38 : x
  2. Step 2: Convert to fraction form
    564.36/778.82 = 328.38/x
  3. Step 3: Cross multiply
    564.36x = 778.82 × 328.38
  4. Step 4: Simplify right side
    564.36x = 255,748.91
  5. Step 5: Solve for x
    x = 255,748.91/564.36
  6. Step 6: Final answer
    x = 453.17

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1.5x scale

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.