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Finding the Fourth Proportional to 564.75, 778.64 and 407.30

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Solution

The fourth proportional to 564.75, 778.64 and 407.30 is: 561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 778.64 = 407.30 : x
  2. Step 2: Convert to fraction form
    564.75/778.64 = 407.30/x
  3. Step 3: Cross multiply
    564.75x = 778.64 × 407.30
  4. Step 4: Simplify right side
    564.75x = 317,134.14
  5. Step 5: Solve for x
    x = 317,134.14/564.75
  6. Step 6: Final answer
    x = 561.55

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Find fourth proportional to 282.38, 389.32 and 203.65
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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.