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Finding the Fourth Proportional to 564.51, 778.62 and 459.60

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Solution

The fourth proportional to 564.51, 778.62 and 459.60 is: 633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.51 : 778.62 = 459.60 : x
  2. Step 2: Convert to fraction form
    564.51/778.62 = 459.60/x
  3. Step 3: Cross multiply
    564.51x = 778.62 × 459.60
  4. Step 4: Simplify right side
    564.51x = 357,853.75
  5. Step 5: Solve for x
    x = 357,853.75/564.51
  6. Step 6: Final answer
    x = 633.92

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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.