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Finding the Fourth Proportional to 727.32, 1,004.06 and 561.18

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Solution

The fourth proportional to 727.32, 1,004.06 and 561.18 is: 774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.32 : 1,004.06 = 561.18 : x
  2. Step 2: Convert to fraction form
    727.32/1,004.06 = 561.18/x
  3. Step 3: Cross multiply
    727.32x = 1,004.06 × 561.18
  4. Step 4: Simplify right side
    727.32x = 563,458.39
  5. Step 5: Solve for x
    x = 563,458.39/727.32
  6. Step 6: Final answer
    x = 774.70

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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.