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Finding the Fourth Proportional to 750.66, 1,126.80 and 486.33

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Solution

The fourth proportional to 750.66, 1,126.80 and 486.33 is: 730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.66 : 1,126.80 = 486.33 : x
  2. Step 2: Convert to fraction form
    750.66/1,126.80 = 486.33/x
  3. Step 3: Cross multiply
    750.66x = 1,126.80 × 486.33
  4. Step 4: Simplify right side
    750.66x = 547,996.64
  5. Step 5: Solve for x
    x = 547,996.64/750.66
  6. Step 6: Final answer
    x = 730.02

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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.