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Finding the Fourth Proportional to 566.79, 782.63 and 461.89

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Solution

The fourth proportional to 566.79, 782.63 and 461.89 is: 637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.79 : 782.63 = 461.89 : x
  2. Step 2: Convert to fraction form
    566.79/782.63 = 461.89/x
  3. Step 3: Cross multiply
    566.79x = 782.63 × 461.89
  4. Step 4: Simplify right side
    566.79x = 361,488.97
  5. Step 5: Solve for x
    x = 361,488.97/566.79
  6. Step 6: Final answer
    x = 637.78

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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.