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Finding the Fourth Proportional to 750.02, 1,122.06 and 703.94

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Solution

The fourth proportional to 750.02, 1,122.06 and 703.94 is: 1,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.02 : 1,122.06 = 703.94 : x
  2. Step 2: Convert to fraction form
    750.02/1,122.06 = 703.94/x
  3. Step 3: Cross multiply
    750.02x = 1,122.06 × 703.94
  4. Step 4: Simplify right side
    750.02x = 789,862.92
  5. Step 5: Solve for x
    x = 789,862.92/750.02
  6. Step 6: Final answer
    x = 1,053.12

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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.