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Finding the Fourth Proportional to 719.43, 1,077.33 and 603.57

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Solution

The fourth proportional to 719.43, 1,077.33 and 603.57 is: 903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.43 : 1,077.33 = 603.57 : x
  2. Step 2: Convert to fraction form
    719.43/1,077.33 = 603.57/x
  3. Step 3: Cross multiply
    719.43x = 1,077.33 × 603.57
  4. Step 4: Simplify right side
    719.43x = 650,244.07
  5. Step 5: Solve for x
    x = 650,244.07/719.43
  6. Step 6: Final answer
    x = 903.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.