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Finding the Fourth Proportional to 777.51, 1,072.90 and 493.91

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Solution

The fourth proportional to 777.51, 1,072.90 and 493.91 is: 681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.51 : 1,072.90 = 493.91 : x
  2. Step 2: Convert to fraction form
    777.51/1,072.90 = 493.91/x
  3. Step 3: Cross multiply
    777.51x = 1,072.90 × 493.91
  4. Step 4: Simplify right side
    777.51x = 529,910.67
  5. Step 5: Solve for x
    x = 529,910.67/777.51
  6. Step 6: Final answer
    x = 681.55

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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.