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Finding the Fourth Proportional to 879.48, 1,319.74 and 811.84

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Solution

The fourth proportional to 879.48, 1,319.74 and 811.84 is: 1,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.48 : 1,319.74 = 811.84 : x
  2. Step 2: Convert to fraction form
    879.48/1,319.74 = 811.84/x
  3. Step 3: Cross multiply
    879.48x = 1,319.74 × 811.84
  4. Step 4: Simplify right side
    879.48x = 1,071,417.72
  5. Step 5: Solve for x
    x = 1,071,417.72/879.48
  6. Step 6: Final answer
    x = 1,218.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.