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Finding the Fourth Proportional to 727.44, 1,004.01 and 432.87

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Solution

The fourth proportional to 727.44, 1,004.01 and 432.87 is: 597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.44 : 1,004.01 = 432.87 : x
  2. Step 2: Convert to fraction form
    727.44/1,004.01 = 432.87/x
  3. Step 3: Cross multiply
    727.44x = 1,004.01 × 432.87
  4. Step 4: Simplify right side
    727.44x = 434,605.81
  5. Step 5: Solve for x
    x = 434,605.81/727.44
  6. Step 6: Final answer
    x = 597.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.