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Finding the Fourth Proportional to 750.82, 1,124.63 and 426.02

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Solution

The fourth proportional to 750.82, 1,124.63 and 426.02 is: 638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.82 : 1,124.63 = 426.02 : x
  2. Step 2: Convert to fraction form
    750.82/1,124.63 = 426.02/x
  3. Step 3: Cross multiply
    750.82x = 1,124.63 × 426.02
  4. Step 4: Simplify right side
    750.82x = 479,114.87
  5. Step 5: Solve for x
    x = 479,114.87/750.82
  6. Step 6: Final answer
    x = 638.12

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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.