Home / 1,320.40-1,979.58-589.46

Finding the Fourth Proportional to 1,320.40, 1,979.58 and 589.46

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Solution

The fourth proportional to 1,320.40, 1,979.58 and 589.46 is: 883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.40 : 1,979.58 = 589.46 : x
  2. Step 2: Convert to fraction form
    1,320.40/1,979.58 = 589.46/x
  3. Step 3: Cross multiply
    1,320.40x = 1,979.58 × 589.46
  4. Step 4: Simplify right side
    1,320.40x = 1,166,890.88
  5. Step 5: Solve for x
    x = 1,166,890.88/1,320.40
  6. Step 6: Final answer
    x = 883.74

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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.