Home / 1,411.59-2,117.46-589.04

Finding the Fourth Proportional to 1,411.59, 2,117.46 and 589.04

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Solution

The fourth proportional to 1,411.59, 2,117.46 and 589.04 is: 883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.59 : 2,117.46 = 589.04 : x
  2. Step 2: Convert to fraction form
    1,411.59/2,117.46 = 589.04/x
  3. Step 3: Cross multiply
    1,411.59x = 2,117.46 × 589.04
  4. Step 4: Simplify right side
    1,411.59x = 1,247,268.20
  5. Step 5: Solve for x
    x = 1,247,268.20/1,411.59
  6. Step 6: Final answer
    x = 883.59

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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.