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Finding the Fourth Proportional to 564.51, 778.95 and 315.84

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Solution

The fourth proportional to 564.51, 778.95 and 315.84 is: 435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.51 : 778.95 = 315.84 : x
  2. Step 2: Convert to fraction form
    564.51/778.95 = 315.84/x
  3. Step 3: Cross multiply
    564.51x = 778.95 × 315.84
  4. Step 4: Simplify right side
    564.51x = 246,023.57
  5. Step 5: Solve for x
    x = 246,023.57/564.51
  6. Step 6: Final answer
    x = 435.82

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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.