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Finding the Fourth Proportional to 751.24, 1,036.20 and 689.29

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Solution

The fourth proportional to 751.24, 1,036.20 and 689.29 is: 950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.24 : 1,036.20 = 689.29 : x
  2. Step 2: Convert to fraction form
    751.24/1,036.20 = 689.29/x
  3. Step 3: Cross multiply
    751.24x = 1,036.20 × 689.29
  4. Step 4: Simplify right side
    751.24x = 714,242.30
  5. Step 5: Solve for x
    x = 714,242.30/751.24
  6. Step 6: Final answer
    x = 950.75

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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.