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Finding the Fourth Proportional to 751.19, 1,036.11 and 689.22

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Solution

The fourth proportional to 751.19, 1,036.11 and 689.22 is: 950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.19 : 1,036.11 = 689.22 : x
  2. Step 2: Convert to fraction form
    751.19/1,036.11 = 689.22/x
  3. Step 3: Cross multiply
    751.19x = 1,036.11 × 689.22
  4. Step 4: Simplify right side
    751.19x = 714,110.32
  5. Step 5: Solve for x
    x = 714,110.32/751.19
  6. Step 6: Final answer
    x = 950.65

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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.