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Finding the Fourth Proportional to 753.02, 1,036.32 and 675.26

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Solution

The fourth proportional to 753.02, 1,036.32 and 675.26 is: 929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.02 : 1,036.32 = 675.26 : x
  2. Step 2: Convert to fraction form
    753.02/1,036.32 = 675.26/x
  3. Step 3: Cross multiply
    753.02x = 1,036.32 × 675.26
  4. Step 4: Simplify right side
    753.02x = 699,785.44
  5. Step 5: Solve for x
    x = 699,785.44/753.02
  6. Step 6: Final answer
    x = 929.31

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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.