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Finding the Fourth Proportional to 727.04, 1,001.13 and 657.58

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Solution

The fourth proportional to 727.04, 1,001.13 and 657.58 is: 905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.04 : 1,001.13 = 657.58 : x
  2. Step 2: Convert to fraction form
    727.04/1,001.13 = 657.58/x
  3. Step 3: Cross multiply
    727.04x = 1,001.13 × 657.58
  4. Step 4: Simplify right side
    727.04x = 658,323.07
  5. Step 5: Solve for x
    x = 658,323.07/727.04
  6. Step 6: Final answer
    x = 905.48

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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.