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Finding the Fourth Proportional to 564.75, 778.98 and 407.12

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Solution

The fourth proportional to 564.75, 778.98 and 407.12 is: 561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 778.98 = 407.12 : x
  2. Step 2: Convert to fraction form
    564.75/778.98 = 407.12/x
  3. Step 3: Cross multiply
    564.75x = 778.98 × 407.12
  4. Step 4: Simplify right side
    564.75x = 317,136.44
  5. Step 5: Solve for x
    x = 317,136.44/564.75
  6. Step 6: Final answer
    x = 561.55

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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.