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Finding the Fourth Proportional to 564.68, 779.16 and 407.60

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Solution

The fourth proportional to 564.68, 779.16 and 407.60 is: 562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 779.16 = 407.60 : x
  2. Step 2: Convert to fraction form
    564.68/779.16 = 407.60/x
  3. Step 3: Cross multiply
    564.68x = 779.16 × 407.60
  4. Step 4: Simplify right side
    564.68x = 317,585.62
  5. Step 5: Solve for x
    x = 317,585.62/564.68
  6. Step 6: Final answer
    x = 562.42

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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.