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Finding the Fourth Proportional to 751.05, 1,036.07 and 616.65

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Solution

The fourth proportional to 751.05, 1,036.07 and 616.65 is: 850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.05 : 1,036.07 = 616.65 : x
  2. Step 2: Convert to fraction form
    751.05/1,036.07 = 616.65/x
  3. Step 3: Cross multiply
    751.05x = 1,036.07 × 616.65
  4. Step 4: Simplify right side
    751.05x = 638,889.48
  5. Step 5: Solve for x
    x = 638,889.48/751.05
  6. Step 6: Final answer
    x = 850.66

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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.