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Finding the Fourth Proportional to 564.79, 778.62 and 407.38

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Solution

The fourth proportional to 564.79, 778.62 and 407.38 is: 561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.79 : 778.62 = 407.38 : x
  2. Step 2: Convert to fraction form
    564.79/778.62 = 407.38/x
  3. Step 3: Cross multiply
    564.79x = 778.62 × 407.38
  4. Step 4: Simplify right side
    564.79x = 317,194.22
  5. Step 5: Solve for x
    x = 317,194.22/564.79
  6. Step 6: Final answer
    x = 561.61

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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.