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Finding the Fourth Proportional to 727.70, 1,003.53 and 561.65

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Solution

The fourth proportional to 727.70, 1,003.53 and 561.65 is: 774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.70 : 1,003.53 = 561.65 : x
  2. Step 2: Convert to fraction form
    727.70/1,003.53 = 561.65/x
  3. Step 3: Cross multiply
    727.70x = 1,003.53 × 561.65
  4. Step 4: Simplify right side
    727.70x = 563,627.61
  5. Step 5: Solve for x
    x = 563,627.61/727.70
  6. Step 6: Final answer
    x = 774.54

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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.