Home / 1,406.07-2,109.54-584.40

Finding the Fourth Proportional to 1,406.07, 2,109.54 and 584.40

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Solution

The fourth proportional to 1,406.07, 2,109.54 and 584.40 is: 876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.07 : 2,109.54 = 584.40 : x
  2. Step 2: Convert to fraction form
    1,406.07/2,109.54 = 584.40/x
  3. Step 3: Cross multiply
    1,406.07x = 2,109.54 × 584.40
  4. Step 4: Simplify right side
    1,406.07x = 1,232,815.18
  5. Step 5: Solve for x
    x = 1,232,815.18/1,406.07
  6. Step 6: Final answer
    x = 876.78

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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.