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Finding the Fourth Proportional to 566.97, 780.89 and 468.69

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Solution

The fourth proportional to 566.97, 780.89 and 468.69 is: 645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.97 : 780.89 = 468.69 : x
  2. Step 2: Convert to fraction form
    566.97/780.89 = 468.69/x
  3. Step 3: Cross multiply
    566.97x = 780.89 × 468.69
  4. Step 4: Simplify right side
    566.97x = 365,992.99
  5. Step 5: Solve for x
    x = 365,992.99/566.97
  6. Step 6: Final answer
    x = 645.52

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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.