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Finding the Fourth Proportional to 750.06, 1,034.37 and 666.63

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Solution

The fourth proportional to 750.06, 1,034.37 and 666.63 is: 919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.06 : 1,034.37 = 666.63 : x
  2. Step 2: Convert to fraction form
    750.06/1,034.37 = 666.63/x
  3. Step 3: Cross multiply
    750.06x = 1,034.37 × 666.63
  4. Step 4: Simplify right side
    750.06x = 689,542.07
  5. Step 5: Solve for x
    x = 689,542.07/750.06
  6. Step 6: Final answer
    x = 919.32

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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.