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Finding the Fourth Proportional to 1,043.64, 1,556.61 and 880.19

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Solution

The fourth proportional to 1,043.64, 1,556.61 and 880.19 is: 1,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.64 : 1,556.61 = 880.19 : x
  2. Step 2: Convert to fraction form
    1,043.64/1,556.61 = 880.19/x
  3. Step 3: Cross multiply
    1,043.64x = 1,556.61 × 880.19
  4. Step 4: Simplify right side
    1,043.64x = 1,370,112.56
  5. Step 5: Solve for x
    x = 1,370,112.56/1,043.64
  6. Step 6: Final answer
    x = 1,312.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.