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Finding the Fourth Proportional to 1,423.22, 2,133.71 and 557.46

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Solution

The fourth proportional to 1,423.22, 2,133.71 and 557.46 is: 835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.22 : 2,133.71 = 557.46 : x
  2. Step 2: Convert to fraction form
    1,423.22/2,133.71 = 557.46/x
  3. Step 3: Cross multiply
    1,423.22x = 2,133.71 × 557.46
  4. Step 4: Simplify right side
    1,423.22x = 1,189,457.98
  5. Step 5: Solve for x
    x = 1,189,457.98/1,423.22
  6. Step 6: Final answer
    x = 835.75

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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.