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Finding the Fourth Proportional to 727.77, 1,004.70 and 491.93

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Solution

The fourth proportional to 727.77, 1,004.70 and 491.93 is: 679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.77 : 1,004.70 = 491.93 : x
  2. Step 2: Convert to fraction form
    727.77/1,004.70 = 491.93/x
  3. Step 3: Cross multiply
    727.77x = 1,004.70 × 491.93
  4. Step 4: Simplify right side
    727.77x = 494,242.07
  5. Step 5: Solve for x
    x = 494,242.07/727.77
  6. Step 6: Final answer
    x = 679.12

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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.