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Finding the Fourth Proportional to 750.68, 1,036.08 and 455.90

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Solution

The fourth proportional to 750.68, 1,036.08 and 455.90 is: 629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.68 : 1,036.08 = 455.90 : x
  2. Step 2: Convert to fraction form
    750.68/1,036.08 = 455.90/x
  3. Step 3: Cross multiply
    750.68x = 1,036.08 × 455.90
  4. Step 4: Simplify right side
    750.68x = 472,348.87
  5. Step 5: Solve for x
    x = 472,348.87/750.68
  6. Step 6: Final answer
    x = 629.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.