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Finding the Fourth Proportional to 1,124.71, 1,684.84 and 880.09

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Solution

The fourth proportional to 1,124.71, 1,684.84 and 880.09 is: 1,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.71 : 1,684.84 = 880.09 : x
  2. Step 2: Convert to fraction form
    1,124.71/1,684.84 = 880.09/x
  3. Step 3: Cross multiply
    1,124.71x = 1,684.84 × 880.09
  4. Step 4: Simplify right side
    1,124.71x = 1,482,810.84
  5. Step 5: Solve for x
    x = 1,482,810.84/1,124.71
  6. Step 6: Final answer
    x = 1,318.39

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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.