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Finding the Fourth Proportional to 879.64, 1,210.86 and 752.88

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Solution

The fourth proportional to 879.64, 1,210.86 and 752.88 is: 1,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.64 : 1,210.86 = 752.88 : x
  2. Step 2: Convert to fraction form
    879.64/1,210.86 = 752.88/x
  3. Step 3: Cross multiply
    879.64x = 1,210.86 × 752.88
  4. Step 4: Simplify right side
    879.64x = 911,632.28
  5. Step 5: Solve for x
    x = 911,632.28/879.64
  6. Step 6: Final answer
    x = 1,036.37

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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.