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Finding the Fourth Proportional to 751.68, 1,123.20 and 622.08

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Solution

The fourth proportional to 751.68, 1,123.20 and 622.08 is: 929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.68 : 1,123.20 = 622.08 : x
  2. Step 2: Convert to fraction form
    751.68/1,123.20 = 622.08/x
  3. Step 3: Cross multiply
    751.68x = 1,123.20 × 622.08
  4. Step 4: Simplify right side
    751.68x = 698,720.26
  5. Step 5: Solve for x
    x = 698,720.26/751.68
  6. Step 6: Final answer
    x = 929.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.