Home / 1,411.28-2,116.74-589.45

Finding the Fourth Proportional to 1,411.28, 2,116.74 and 589.45

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Solution

The fourth proportional to 1,411.28, 2,116.74 and 589.45 is: 884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.28 : 2,116.74 = 589.45 : x
  2. Step 2: Convert to fraction form
    1,411.28/2,116.74 = 589.45/x
  3. Step 3: Cross multiply
    1,411.28x = 2,116.74 × 589.45
  4. Step 4: Simplify right side
    1,411.28x = 1,247,712.39
  5. Step 5: Solve for x
    x = 1,247,712.39/1,411.28
  6. Step 6: Final answer
    x = 884.10

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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.