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Finding the Fourth Proportional to 564.57, 779.10 and 328.51

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Solution

The fourth proportional to 564.57, 779.10 and 328.51 is: 453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.57 : 779.10 = 328.51 : x
  2. Step 2: Convert to fraction form
    564.57/779.10 = 328.51/x
  3. Step 3: Cross multiply
    564.57x = 779.10 × 328.51
  4. Step 4: Simplify right side
    564.57x = 255,942.14
  5. Step 5: Solve for x
    x = 255,942.14/564.57
  6. Step 6: Final answer
    x = 453.34

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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.